diff --git a/clients/ts/package.json b/clients/ts/package.json
index 18e01194..ba756a6d 100644
--- a/clients/ts/package.json
+++ b/clients/ts/package.json
@@ -42,9 +42,9 @@
   },
   "devDependencies": {
     "@types/node": "catalog:",
-    "@vitest/coverage-v8": "^4.1.6",
+    "@vitest/coverage-v8": "^4.1.8",
     "tsup": "^8.0.0",
-    "tsx": "^4.0.0",
+    "tsx": "^4.22.4",
     "typescript": "catalog:",
     "vitest": "catalog:"
   },
diff --git a/docs/package.json b/docs/package.json
index ed7fc530..4b4801d9 100644
--- a/docs/package.json
+++ b/docs/package.json
@@ -24,7 +24,7 @@
     "@wavehouse/sdk": "workspace:*",
     "astro": "^6.1.5",
     "astro-vtbot": "^2.1.12",
-    "katex": "^0.16.11",
+    "katex": "^0.17.0",
     "rehype-katex": "^7.0.1",
     "rehype-mermaid": "^3.0.0",
     "remark-math": "^6.0.0",
@@ -32,7 +32,7 @@
     "starlight-image-zoom": "^0.14.1",
     "starlight-links-validator": "^0.24.0",
     "tailwindcss": "^4.3.0",
-    "typescript": "^5.6.0"
+    "typescript": "^6.0.3"
   },
   "devDependencies": {
     "@cloudflare/workers-types": "^4.20240208.0",
diff --git a/package.json b/package.json
index b1f6dcad..9d8c2dad 100644
--- a/package.json
+++ b/package.json
@@ -15,7 +15,7 @@
     "fix:md": "markdownlint-cli2 --fix"
   },
   "devDependencies": {
-    "@biomejs/biome": "^2.4.15",
+    "@biomejs/biome": "^2.4.16",
     "markdownlint-cli2": "^0.22.1",
     "nyc": "^18.0.0"
   }
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index e18d9902..87528170 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -13,16 +13,16 @@ catalogs:
       specifier: ^6.0.3
       version: 6.0.3
     vitest:
-      specifier: ^4.1.6
-      version: 4.1.7
+      specifier: ^4.1.8
+      version: 4.1.8
 
 importers:
 
   .:
     devDependencies:
       '@biomejs/biome':
-        specifier: ^2.4.15
-        version: 2.4.15
+        specifier: ^2.4.16
+        version: 2.4.16
       markdownlint-cli2:
         specifier: ^0.22.1
         version: 0.22.1
@@ -36,32 +36,32 @@ importers:
         specifier: 'catalog:'
         version: 25.9.1
       '@vitest/coverage-v8':
-        specifier: ^4.1.6
-        version: 4.1.7(vitest@4.1.7)
+        specifier: ^4.1.8
+        version: 4.1.8(vitest@4.1.8)
       tsup:
         specifier: ^8.0.0
-        version: 8.5.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.3)(typescript@6.0.3)(yaml@2.9.0)
+        version: 8.5.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.4)(typescript@6.0.3)(yaml@2.9.0)
       tsx:
-        specifier: ^4.0.0
-        version: 4.22.3
+        specifier: ^4.22.4
+        version: 4.22.4
       typescript:
         specifier: 'catalog:'
         version: 6.0.3
       vitest:
         specifier: 'catalog:'
-        version: 4.1.7(@types/node@25.9.1)(@vitest/coverage-v8@4.1.7)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))
+        version: 4.1.8(@types/node@25.9.1)(@vitest/coverage-v8@4.1.8)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))
 
   docs:
     dependencies:
       '@astrojs/check':
         specifier: ^0.9.4
-        version: 0.9.9(prettier@3.8.3)(typescript@5.9.3)
+        version: 0.9.9(prettier@3.8.3)(typescript@6.0.3)
       '@astrojs/starlight':
         specifier: ^0.38.3
-        version: 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+        version: 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       '@astrojs/starlight-tailwind':
         specifier: ^5.0.0
-        version: 5.0.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)))(tailwindcss@4.3.0)
+        version: 5.0.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)))(tailwindcss@4.3.0)
       '@fontsource-variable/inter':
         specifier: ^5.2.8
         version: 5.2.8
@@ -70,28 +70,28 @@ importers:
         version: 5.2.8
       '@tailwindcss/vite':
         specifier: ^4.3.0
-        version: 4.3.0(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))
+        version: 4.3.0(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))
       '@wave-rf/astro-themed-mermaid':
         specifier: ^0.3.1
-        version: 0.3.1(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))(rehype-mermaid@3.0.0(playwright@1.60.0))
+        version: 0.3.1(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))(rehype-mermaid@3.0.0(playwright@1.60.0))
       '@wave-rf/cloudflare-md-router':
         specifier: ^0.2.1
         version: 0.2.1(@cloudflare/workers-types@4.20260521.1)
       '@wave-rf/starlight-llm-tools':
         specifier: ^0.3.1
-        version: 0.3.1(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+        version: 0.3.1(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       '@wavehouse/sdk':
         specifier: workspace:*
         version: link:../clients/ts
       astro:
         specifier: ^6.1.5
-        version: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)
+        version: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)
       astro-vtbot:
         specifier: ^2.1.12
         version: 2.1.12
       katex:
-        specifier: ^0.16.11
-        version: 0.16.47
+        specifier: ^0.17.0
+        version: 0.17.0
       rehype-katex:
         specifier: ^7.0.1
         version: 7.0.1
@@ -106,16 +106,16 @@ importers:
         version: 0.34.5
       starlight-image-zoom:
         specifier: ^0.14.1
-        version: 0.14.2(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)))
+        version: 0.14.2(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)))
       starlight-links-validator:
         specifier: ^0.24.0
-        version: 0.24.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+        version: 0.24.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       tailwindcss:
         specifier: ^4.3.0
         version: 4.3.0
       typescript:
-        specifier: ^5.6.0
-        version: 5.9.3
+        specifier: ^6.0.3
+        version: 6.0.3
     devDependencies:
       '@cloudflare/workers-types':
         specifier: ^4.20240208.0
@@ -137,8 +137,8 @@ importers:
         specifier: 'catalog:'
         version: 25.9.1
       '@vitest/coverage-v8':
-        specifier: ^4.1.6
-        version: 4.1.7(vitest@4.1.7)
+        specifier: ^4.1.8
+        version: 4.1.8(vitest@4.1.8)
       eventsource:
         specifier: ^4.1.0
         version: 4.1.0
@@ -147,7 +147,7 @@ importers:
         version: 6.0.3
       vitest:
         specifier: 'catalog:'
-        version: 4.1.7(@types/node@25.9.1)(@vitest/coverage-v8@4.1.7)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))
+        version: 4.1.8(@types/node@25.9.1)(@vitest/coverage-v8@4.1.8)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))
 
 packages:
 
@@ -253,10 +253,18 @@ packages:
     resolution: {integrity: sha512-qMlSxKbpRlAridDExk92nSobyDdpPijUq2DW6oDnUqd0iOGxmQjyqhMIihI9+zv4LPyZdRje2cavWPbCbWm3eA==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/helper-string-parser@7.29.7':
+    resolution: {integrity: sha512-Pb5ijPrZ89GDH8223L4UP8i6QApWxs04RbPQJTeWDV0/keR2E36MeKnyr6LYmUUvqRRI+Iv87SuF1W6ErINzYw==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/helper-validator-identifier@7.28.5':
     resolution: {integrity: sha512-qSs4ifwzKJSV39ucNjsvc6WVHs6b7S03sOh2OcHF9UHfVPqWWALUsNUVzhSBiItjRZoLHx7nIarVjqKVusUZ1Q==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/helper-validator-identifier@7.29.7':
+    resolution: {integrity: sha512-qehxGkRj55h/ff8EMaJ+cYhyaKlHIxqYDn682wQD7RNp9UujOQsHog2uS0r2vzr4pW+sXf90NeeayjcNaX3fFg==}
+    engines: {node: '>=6.9.0'}
+
   '@babel/helper-validator-option@7.27.1':
     resolution: {integrity: sha512-YvjJow9FxbhFFKDSuFnVCe2WxXk1zWc22fFePVNEaWJEu8IrZVlda6N0uHwzZrUM1il7NC9Mlp4MaJYbYd9JSg==}
     engines: {node: '>=6.9.0'}
@@ -270,6 +278,11 @@ packages:
     engines: {node: '>=6.0.0'}
     hasBin: true
 
+  '@babel/parser@7.29.7':
+    resolution: {integrity: sha512-hnORnjP/1P/zFEndoeX+n+t1RwWRJiJpM/jO7FW32Kn9r5+sJB2JWOdYo4L6k78j15eCwY3Gm/7364B1EMwtNg==}
+    engines: {node: '>=6.0.0'}
+    hasBin: true
+
   '@babel/runtime@7.29.2':
     resolution: {integrity: sha512-JiDShH45zKHWyGe4ZNVRrCjBz8Nh9TMmZG1kh4QTK8hCBTWBi8Da+i7s1fJw7/lYpM4ccepSNfqzZ/QvABBi5g==}
     engines: {node: '>=6.9.0'}
@@ -286,63 +299,67 @@ packages:
     resolution: {integrity: sha512-LwdZHpScM4Qz8Xw2iKSzS+cfglZzJGvofQICy7W7v4caru4EaAmyUuO6BGrbyQ2mYV11W0U8j5mBhd14dd3B0A==}
     engines: {node: '>=6.9.0'}
 
+  '@babel/types@7.29.7':
+    resolution: {integrity: sha512-4zBIxpPzowiZpusoFkyGVwakdRJUyuH5PxQ/PrqghfdFWWasvnCdPfQXHrenDai+gyLARulZjZowCOj6fjT4pA==}
+    engines: {node: '>=6.9.0'}
+
   '@bcoe/v8-coverage@1.0.2':
     resolution: {integrity: sha512-6zABk/ECA/QYSCQ1NGiVwwbQerUCZ+TQbp64Q3AgmfNvurHH0j8TtXa1qbShXA6qqkpAj4V5W8pP6mLe1mcMqA==}
     engines: {node: '>=18'}
 
-  '@biomejs/biome@2.4.15':
-    resolution: {integrity: sha512-j5VH3a/h/HXTKBM50MDMxRCzkeLv9S2XJcW2WgnZT1+xyisi+0bISrXR82gCX+8S9lvK0skEvHJRN+3Ktr2hlw==}
+  '@biomejs/biome@2.4.16':
+    resolution: {integrity: sha512-x9ajFh1zChVybCiM3TN6OD4phAqLgtPZjFrZF+aTMYCPjwBO+k529TX7PPsAqtGNLeV4UgzwQnowEgS7bGmzcA==}
     engines: {node: '>=14.21.3'}
     hasBin: true
 
-  '@biomejs/cli-darwin-arm64@2.4.15':
-    resolution: {integrity: sha512-rF3PPqLq1yoST79zaQbDjVJwsuIeci/O+9bgNmC5QpgOqz6aqYuzA4abyAGx+mgyiDXn4A049xAN8gijbuR1Qg==}
+  '@biomejs/cli-darwin-arm64@2.4.16':
+    resolution: {integrity: sha512-wxPvu4XOA85YJk9ixSWUmq/QBHbid85BISbOAqqBM/5xQpPk9ayjk5375tOlSC0BeCwNSbPFafQBm+vBumXq0A==}
     engines: {node: '>=14.21.3'}
     cpu: [arm64]
     os: [darwin]
 
-  '@biomejs/cli-darwin-x64@2.4.15':
-    resolution: {integrity: sha512-/5KHXYMfSJs1fNXiX30xFtI8JcCFV6zaVVLxOa0M2sfqBKHkpQhRTv94yxQWxeTY2lzo2OuTlNvPC+hDQt2wcQ==}
+  '@biomejs/cli-darwin-x64@2.4.16':
+    resolution: {integrity: sha512-xFCqGPwYusQJp4N4NJLi1XJiZqjwFdjhT+KqtNy+Ug3qgfczqnTa6MSDvxJF6TkuDLoYJItMapz6tAf7kCekFw==}
     engines: {node: '>=14.21.3'}
     cpu: [x64]
     os: [darwin]
 
-  '@biomejs/cli-linux-arm64-musl@2.4.15':
-    resolution: {integrity: sha512-ZPcxznxm0pogHBLZhYntyR3sR+MrZjqJIKEr7ZqVen0Rl+P/4upVmfYXjftizi9RoqZntg33fv/1fbdhbYXpEQ==}
+  '@biomejs/cli-linux-arm64-musl@2.4.16':
+    resolution: {integrity: sha512-oYxnW0ARfJkr72ezzF2OR8N/rtkgLUQeYtF8cFhVswbknHxtTcmzSsanVJP8yQKnGpGpc2ck6c5zLvHahL6Cbg==}
     engines: {node: '>=14.21.3'}
     cpu: [arm64]
     os: [linux]
     libc: [musl]
 
-  '@biomejs/cli-linux-arm64@2.4.15':
-    resolution: {integrity: sha512-owaAMZD/T4LrD0ELNCk0Km3qrRHuM0X6EAyVE1FSqGY0rbLoiDLrO4Us2tllm6cAeB2Ioa9C2C08NZPdr8+0Ug==}
+  '@biomejs/cli-linux-arm64@2.4.16':
+    resolution: {integrity: sha512-2kFb4//jxfZaP6D+Rj5VkHkxgyD9EoRAVBEQb8PKRv+s4NO2zYNJKXFaJmK1CmhufJOWEfpHKaRbOja7qjmdhQ==}
     engines: {node: '>=14.21.3'}
     cpu: [arm64]
     os: [linux]
     libc: [glibc]
 
-  '@biomejs/cli-linux-x64-musl@2.4.15':
-    resolution: {integrity: sha512-CNq/9W38SYSH023lfcQ4KKU8K0YX8T//FZUhcgtMMRABDojx5XsMV7jlweAvGSl389wJQB29Qo6Zb/a+jdvt+w==}
+  '@biomejs/cli-linux-x64-musl@2.4.16':
+    resolution: {integrity: sha512-iHDS+MCM65DPqWGu+ECC3uoALyj2H7F4nVUPxIPjz/PIl94EUu+EDfGZDzFP+NY1EOPVt9NQvwFqq7HdMmowdg==}
     engines: {node: '>=14.21.3'}
     cpu: [x64]
     os: [linux]
     libc: [musl]
 
-  '@biomejs/cli-linux-x64@2.4.15':
-    resolution: {integrity: sha512-0jj7THz12GbUOLmMibktK6DZjqz2zV64KFxyBtcFTKPiiOIY0a7vns1elpO1dERvxpsZ5ik0oFfz0oGwFde1+g==}
+  '@biomejs/cli-linux-x64@2.4.16':
+    resolution: {integrity: sha512-NbcBbi/nJqn5baae6wqRXdS7Gadf2uRpehSh6vMSYpG8OhkXl/Xg8aorWrJ+9VWqAT5ml90alLvorkpMW0nBwQ==}
     engines: {node: '>=14.21.3'}
     cpu: [x64]
     os: [linux]
     libc: [glibc]
 
-  '@biomejs/cli-win32-arm64@2.4.15':
-    resolution: {integrity: sha512-ouhkYdlhp/1GghEJPdWwD/Vi3gQ1nFxuSpMolWsbq3Lsq3QUR4jl6UdhhscdCugKU5vOEuMiJhvKj66O0OCq+w==}
+  '@biomejs/cli-win32-arm64@2.4.16':
+    resolution: {integrity: sha512-0rgImMsNb5v/chhkIFe3wu7PEFClS6RBAYUijGL9UsYN3PanSaoK24HSSuSJb1pYbYYVjzAyZTl3gtjJ84BM8A==}
     engines: {node: '>=14.21.3'}
     cpu: [arm64]
     os: [win32]
 
-  '@biomejs/cli-win32-x64@2.4.15':
-    resolution: {integrity: sha512-zBrGq5mx5wwpnow4+2BxUvleDM+GNd4sLbPaMapsSLQLD0NGRCquqPBTgN+7XkUteHvj7M+BstuI8tmnV7+HgQ==}
+  '@biomejs/cli-win32-x64@2.4.16':
+    resolution: {integrity: sha512-Kp85jgoBHa05gix6UIRjfCDiUV3w/8VIdZ247VyyO2gEjaw12WEVhdIjlxp/AMzXxqxQwbxNTDVZ3Mwd2RG5rw==}
     engines: {node: '>=14.21.3'}
     cpu: [x64]
     os: [win32]
@@ -1635,20 +1652,20 @@ packages:
   '@upsetjs/venn.js@2.0.0':
     resolution: {integrity: sha512-WbBhLrooyePuQ1VZxrJjtLvTc4NVfpOyKx0sKqioq9bX1C1m7Jgykkn8gLrtwumBioXIqam8DLxp88Adbue6Hw==}
 
-  '@vitest/coverage-v8@4.1.7':
-    resolution: {integrity: sha512-qsYPeXc5Q9dFLd1i8Ap+Bx8sQgcp+rFVQo4R0dDsWNBzl26ldVF1qOO+RL24K7FDrR6pA+50XedRLSoSG24bVQ==}
+  '@vitest/coverage-v8@4.1.8':
+    resolution: {integrity: sha512-lt3kovsyHwYe00wq4D1ti0Z974fWj4NLp6siqiyEufUpyFwK9Yhi7rBhac9JL5aA0zoMrJqc4vYPZRUnI7l7nw==}
     peerDependencies:
-      '@vitest/browser': 4.1.7
-      vitest: 4.1.7
+      '@vitest/browser': 4.1.8
+      vitest: 4.1.8
     peerDependenciesMeta:
       '@vitest/browser':
         optional: true
 
-  '@vitest/expect@4.1.7':
-    resolution: {integrity: sha512-1R+tw0ortHEbZDGMymm+pN7/AFQ/RkFFdtd7EN+VBpynKmLbP8A3rpEXdshBJ7+8hQ9zBJh/i1s0yKNtxAnU7w==}
+  '@vitest/expect@4.1.8':
+    resolution: {integrity: sha512-h3nDO677RDLEGlBxyQ5CW8RlMThSKSRLUePLOx09gNIWRL40edgA1GCZSZgf1W55MFAG6/Sw14KeaAnqv0NKdQ==}
 
-  '@vitest/mocker@4.1.7':
-    resolution: {integrity: sha512-vY7nuamKgfvpA1Koa3oYIw/k7D6kZnpGyNMZW8loow2bsBYla1TFdqTaXncWdRn4pgwNs+90RhnXhJScDwQeJA==}
+  '@vitest/mocker@4.1.8':
+    resolution: {integrity: sha512-LEiN/xe4OSIbKe9HQIp5OC24agGD9J5CnmMgsLohVVoOPWL9a2sBoR6VBx43jQZb7Kr1l4RCuyCJzcAa0+dojw==}
     peerDependencies:
       msw: ^2.4.9
       vite: ^6.0.0 || ^7.0.0 || ^8.0.0
@@ -1658,20 +1675,20 @@ packages:
       vite:
         optional: true
 
-  '@vitest/pretty-format@4.1.7':
-    resolution: {integrity: sha512-umgCarTOYQWIaDMvGDRZij+6b9oVeLIyJzfN+AS88e0ZOU3QTgNNSTtjQOpcvWr3np1N0j4WgZj+sb3oYBDscw==}
+  '@vitest/pretty-format@4.1.8':
+    resolution: {integrity: sha512-9GasEBxpZ1VYIpqHf/0+YGg121uSNwCKOJqIrTwWP/TB7DmFCiaBpNl3aPZzoLWfWkuqhbH8vJIVobZkvdo2cA==}
 
-  '@vitest/runner@4.1.7':
-    resolution: {integrity: sha512-BapjmAQ2aI78WdMEfeUWivnfVzB+VPGwWRQcJE0OUq7qEeEcBsCSf+0T5iREBNE5nBb4wA5Ya0W6IA+sghdEFw==}
+  '@vitest/runner@4.1.8':
+    resolution: {integrity: sha512-EmVxeBAfMJvycdjd6Hm+RbFBbA9fKvo0Kx37hNpBYoYeavH3RNsBXWDooR1mgD52dCrxIIuP7UotpfiwOikvcg==}
 
-  '@vitest/snapshot@4.1.7':
-    resolution: {integrity: sha512-ZacLzja+TmJeZ1h14xW2FB/WpeimUD3haBXQPyJqxvo8jQTmfeA8zv58mtjN2C7EHXZDYVcVYdYmAxjkWVvKCw==}
+  '@vitest/snapshot@4.1.8':
+    resolution: {integrity: sha512-acfZboRmAIf05DEKcBQy33VXojFJjtUdLyo7oOmV9kebb2xdU01UknNiPuPZoJZQyO7DF0gZdTGTpeAzET9QPQ==}
 
-  '@vitest/spy@4.1.7':
-    resolution: {integrity: sha512-kbkI5LMWakyuTIvs6fUJ5qdIVb1XVKsYJAT4OJ938cHMROYMSfmoQdZy0aaAnjbbc8F61vkoTqz/Az+/HiIu5Q==}
+  '@vitest/spy@4.1.8':
+    resolution: {integrity: sha512-6EevtBp6OZOPF7bmz36HrGMeP3txgVSrgebWxHOafDXGkhIzfXK14f8KF6MuFfgXXUeHxmpD3BQxkV00/3s5mA==}
 
-  '@vitest/utils@4.1.7':
-    resolution: {integrity: sha512-T532WBu791cBxJlCl6SO+J14l81DQx6uQHm1bQbmCDY7nqlEIgkza/UFnSBNaUtSf41unldDFjdOBYEQC4b5Hw==}
+  '@vitest/utils@4.1.8':
+    resolution: {integrity: sha512-uOJamYALNhfJ6iolExyQM40yIQwDqYnkKtQ5VCiSe17E33H0aQ/u+1GlRuz4LZBk6Mm3sg90G9hEbmEt37C1Zg==}
 
   '@volar/kit@2.4.28':
     resolution: {integrity: sha512-cKX4vK9dtZvDRaAzeoUdaAJEew6IdxHNCRrdp5Kvcl6zZOqb6jTOfk3kXkIkG3T7oTFXguEMt5+9ptyqYR84Pg==}
@@ -1813,8 +1830,8 @@ packages:
     resolution: {integrity: sha512-Izi8RQcffqCeNVgFigKli1ssklIbpHnCYc6AknXGYoB6grJqyeby7jv12JUQgmTAnIDnbck1uxksT4dzN3PWBA==}
     engines: {node: '>=12'}
 
-  ast-v8-to-istanbul@1.0.0:
-    resolution: {integrity: sha512-1fSfIwuDICFA4LKkCzRPO7F0hzFf0B7+Xqrl27ynQaa+Rh0e1Es0v6kWHPott3lU10AyAr7oKHa65OppjLn3Rg==}
+  ast-v8-to-istanbul@1.0.3:
+    resolution: {integrity: sha512-jCMQ6ZylLPudp0CDfBmQBZUsrh1/8psbmu9ibeVWKuHWD0YrH9YABwlKu5kVEFoT0GCQQW9Z/SxfuEbbkGQCRg==}
 
   astring@1.9.0:
     resolution: {integrity: sha512-LElXdjswlqjWrPpJFg1Fx4wpkOCxj1TDHlSV4PlaRxHGWko024xICaa97ZkMfs6DRKlCguiAI+rbXv5GWwXIkg==}
@@ -2783,6 +2800,10 @@ packages:
     resolution: {integrity: sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==}
     hasBin: true
 
+  katex@0.17.0:
+    resolution: {integrity: sha512-Vdw0ATsQ9V+LuegM/BTwQqV/6cTl5lbGcIrU+BCgLxyf6bo38ybOr372tuSIxir3CN720flu1meYR6XzNMwQnw==}
+    hasBin: true
+
   khroma@2.1.0:
     resolution: {integrity: sha512-Ls993zuzfayK269Svk9hzpeGUKob/sIgZzyHYdjQoAdQetRKpOLj+k/QQQ/6Qi0Yz65mlROrfd+Ev+1+7dz9Kw==}
 
@@ -3226,6 +3247,10 @@ packages:
   obug@2.1.1:
     resolution: {integrity: sha512-uTqF9MuPraAQ+IsnPf366RG4cP9RtUi7MLO1N3KEc+wb0a6yKpeL0lmk2IB1jY5KHPAlTc6T/JRdC/YqxHNwkQ==}
 
+  obug@2.1.2:
+    resolution: {integrity: sha512-AWGB9WFcRXOQs48Z/udjI5ZcZMHXwX8XPByNpOydgcGsDLIzjGizhoMWJyKAWze7AVW/2W1i+/gPX4YtKe5cyg==}
+    engines: {node: '>=12.20.0'}
+
   ofetch@1.5.1:
     resolution: {integrity: sha512-2W4oUZlVaqAPAil6FUg/difl6YhqhUR7x2eZY4bQCko22UXg3hptq9KLQdqFClV+Wu85UX7hNtdGTngi/1BxcA==}
 
@@ -3815,8 +3840,8 @@ packages:
       typescript:
         optional: true
 
-  tsx@4.22.3:
-    resolution: {integrity: sha512-mdoNxBC/cSQObGGVQ5Bpn5i+yv7j68gk3Nfm3wFjcJg3Z0Mix9jzAFfP12prmm5eVGmDKtp0yyArrs0Q+8gZHg==}
+  tsx@4.22.4:
+    resolution: {integrity: sha512-X8EX+XV4QR5xCsrgxaED954zTDfY8KqlDtskKEL0cHhyS/P8b4IFOvGDQpsC9Q1XnLq915wEfwwY/zzskCtmhg==}
     engines: {node: '>=18.0.0'}
     hasBin: true
 
@@ -3833,11 +3858,6 @@ packages:
   typescript-auto-import-cache@0.3.6:
     resolution: {integrity: sha512-RpuHXrknHdVdK7wv/8ug3Fr0WNsNi5l5aB8MYYuXhq2UH5lnEB1htJ1smhtD5VeCsGr2p8mUDtd83LCQDFVgjQ==}
 
-  typescript@5.9.3:
-    resolution: {integrity: sha512-jl1vZzPDinLr9eUt3J/t7V6FgNEw9QjvBPdysz9KfQDD41fQrC2Y4vKQdiaUpFT4bXlb1RHhLpp8wtm6M5TgSw==}
-    engines: {node: '>=14.17'}
-    hasBin: true
-
   typescript@6.0.3:
     resolution: {integrity: sha512-y2TvuxSZPDyQakkFRPZHKFm+KKVqIisdg9/CZwm9ftvKXLP8NRWj38/ODjNbr43SsoXqNuAisEf1GdCxqWcdBw==}
     engines: {node: '>=14.17'}
@@ -4045,20 +4065,20 @@ packages:
       vite:
         optional: true
 
-  vitest@4.1.7:
-    resolution: {integrity: sha512-flYyaFd2CgoCoU+0UKt3pxksgC+S02iTDN0n3LtqaMeXsI9SBcdNujc2k0DeFLzUn/0k538yNjOSdwgCqcrwJA==}
+  vitest@4.1.8:
+    resolution: {integrity: sha512-flY6ScbCIt9HThs+C5HS7jvGOB560DJtk/Z15IQROTA6zEy49Nh8T/dofWTQL+n3vswqn87sbJNiuqw1SDp5Ig==}
     engines: {node: ^20.0.0 || ^22.0.0 || >=24.0.0}
     hasBin: true
     peerDependencies:
       '@edge-runtime/vm': '*'
       '@opentelemetry/api': ^1.9.0
       '@types/node': ^20.0.0 || ^22.0.0 || >=24.0.0
-      '@vitest/browser-playwright': 4.1.7
-      '@vitest/browser-preview': 4.1.7
-      '@vitest/browser-webdriverio': 4.1.7
-      '@vitest/coverage-istanbul': 4.1.7
-      '@vitest/coverage-v8': 4.1.7
-      '@vitest/ui': 4.1.7
+      '@vitest/browser-playwright': 4.1.8
+      '@vitest/browser-preview': 4.1.8
+      '@vitest/browser-webdriverio': 4.1.8
+      '@vitest/coverage-istanbul': 4.1.8
+      '@vitest/coverage-v8': 4.1.8
+      '@vitest/ui': 4.1.8
       happy-dom: '*'
       jsdom: '*'
       vite: ^6.0.0 || ^7.0.0 || ^8.0.0
@@ -4306,12 +4326,12 @@ snapshots:
       package-manager-detector: 1.6.0
       tinyexec: 1.1.2
 
-  '@astrojs/check@0.9.9(prettier@3.8.3)(typescript@5.9.3)':
+  '@astrojs/check@0.9.9(prettier@3.8.3)(typescript@6.0.3)':
     dependencies:
-      '@astrojs/language-server': 2.16.9(prettier@3.8.3)(typescript@5.9.3)
+      '@astrojs/language-server': 2.16.9(prettier@3.8.3)(typescript@6.0.3)
       chokidar: 4.0.3
       kleur: 4.1.5
-      typescript: 5.9.3
+      typescript: 6.0.3
       yargs: 17.7.2
     transitivePeerDependencies:
       - prettier
@@ -4325,12 +4345,12 @@ snapshots:
     dependencies:
       picomatch: 4.0.4
 
-  '@astrojs/language-server@2.16.9(prettier@3.8.3)(typescript@5.9.3)':
+  '@astrojs/language-server@2.16.9(prettier@3.8.3)(typescript@6.0.3)':
     dependencies:
       '@astrojs/compiler': 2.13.1
       '@astrojs/yaml2ts': 0.2.4
       '@jridgewell/sourcemap-codec': 1.5.5
-      '@volar/kit': 2.4.28(typescript@5.9.3)
+      '@volar/kit': 2.4.28(typescript@6.0.3)
       '@volar/language-core': 2.4.28
       '@volar/language-server': 2.4.28
       '@volar/language-service': 2.4.28
@@ -4376,12 +4396,12 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@astrojs/mdx@5.0.6(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))':
+  '@astrojs/mdx@5.0.6(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))':
     dependencies:
       '@astrojs/markdown-remark': 7.1.2
       '@mdx-js/mdx': 3.1.1
       acorn: 8.16.0
-      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)
+      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)
       es-module-lexer: 2.1.0
       estree-util-visit: 2.0.0
       hast-util-to-html: 9.0.5
@@ -4405,22 +4425,22 @@ snapshots:
       stream-replace-string: 2.0.0
       zod: 4.4.3
 
-  '@astrojs/starlight-tailwind@5.0.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)))(tailwindcss@4.3.0)':
+  '@astrojs/starlight-tailwind@5.0.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)))(tailwindcss@4.3.0)':
     dependencies:
-      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       tailwindcss: 4.3.0
 
-  '@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))':
+  '@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))':
     dependencies:
       '@astrojs/markdown-remark': 7.1.2
-      '@astrojs/mdx': 5.0.6(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+      '@astrojs/mdx': 5.0.6(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       '@astrojs/sitemap': 3.7.2
       '@pagefind/default-ui': 1.5.2
       '@types/hast': 3.0.4
       '@types/js-yaml': 4.0.9
       '@types/mdast': 4.0.4
-      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)
-      astro-expressive-code: 0.42.0(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)
+      astro-expressive-code: 0.42.0(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       bcp-47: 2.1.0
       hast-util-from-html: 2.0.3
       hast-util-select: 6.0.4
@@ -4486,8 +4506,8 @@ snapshots:
 
   '@babel/generator@7.29.1':
     dependencies:
-      '@babel/parser': 7.29.3
-      '@babel/types': 7.29.0
+      '@babel/parser': 7.29.7
+      '@babel/types': 7.29.7
       '@jridgewell/gen-mapping': 0.3.13
       '@jridgewell/trace-mapping': 0.3.31
       jsesc: 3.1.0
@@ -4505,7 +4525,7 @@ snapshots:
   '@babel/helper-module-imports@7.28.6':
     dependencies:
       '@babel/traverse': 7.29.0
-      '@babel/types': 7.29.0
+      '@babel/types': 7.29.7
     transitivePeerDependencies:
       - supports-color
 
@@ -4520,35 +4540,43 @@ snapshots:
 
   '@babel/helper-string-parser@7.27.1': {}
 
+  '@babel/helper-string-parser@7.29.7': {}
+
   '@babel/helper-validator-identifier@7.28.5': {}
 
+  '@babel/helper-validator-identifier@7.29.7': {}
+
   '@babel/helper-validator-option@7.27.1': {}
 
   '@babel/helpers@7.29.2':
     dependencies:
       '@babel/template': 7.28.6
-      '@babel/types': 7.29.0
+      '@babel/types': 7.29.7
 
   '@babel/parser@7.29.3':
     dependencies:
       '@babel/types': 7.29.0
 
+  '@babel/parser@7.29.7':
+    dependencies:
+      '@babel/types': 7.29.7
+
   '@babel/runtime@7.29.2': {}
 
   '@babel/template@7.28.6':
     dependencies:
       '@babel/code-frame': 7.29.0
-      '@babel/parser': 7.29.3
-      '@babel/types': 7.29.0
+      '@babel/parser': 7.29.7
+      '@babel/types': 7.29.7
 
   '@babel/traverse@7.29.0':
     dependencies:
       '@babel/code-frame': 7.29.0
       '@babel/generator': 7.29.1
       '@babel/helper-globals': 7.28.0
-      '@babel/parser': 7.29.3
+      '@babel/parser': 7.29.7
       '@babel/template': 7.28.6
-      '@babel/types': 7.29.0
+      '@babel/types': 7.29.7
       debug: 4.4.3
     transitivePeerDependencies:
       - supports-color
@@ -4558,41 +4586,46 @@ snapshots:
       '@babel/helper-string-parser': 7.27.1
       '@babel/helper-validator-identifier': 7.28.5
 
+  '@babel/types@7.29.7':
+    dependencies:
+      '@babel/helper-string-parser': 7.29.7
+      '@babel/helper-validator-identifier': 7.29.7
+
   '@bcoe/v8-coverage@1.0.2': {}
 
-  '@biomejs/biome@2.4.15':
+  '@biomejs/biome@2.4.16':
     optionalDependencies:
-      '@biomejs/cli-darwin-arm64': 2.4.15
-      '@biomejs/cli-darwin-x64': 2.4.15
-      '@biomejs/cli-linux-arm64': 2.4.15
-      '@biomejs/cli-linux-arm64-musl': 2.4.15
-      '@biomejs/cli-linux-x64': 2.4.15
-      '@biomejs/cli-linux-x64-musl': 2.4.15
-      '@biomejs/cli-win32-arm64': 2.4.15
-      '@biomejs/cli-win32-x64': 2.4.15
+      '@biomejs/cli-darwin-arm64': 2.4.16
+      '@biomejs/cli-darwin-x64': 2.4.16
+      '@biomejs/cli-linux-arm64': 2.4.16
+      '@biomejs/cli-linux-arm64-musl': 2.4.16
+      '@biomejs/cli-linux-x64': 2.4.16
+      '@biomejs/cli-linux-x64-musl': 2.4.16
+      '@biomejs/cli-win32-arm64': 2.4.16
+      '@biomejs/cli-win32-x64': 2.4.16
 
-  '@biomejs/cli-darwin-arm64@2.4.15':
+  '@biomejs/cli-darwin-arm64@2.4.16':
     optional: true
 
-  '@biomejs/cli-darwin-x64@2.4.15':
+  '@biomejs/cli-darwin-x64@2.4.16':
     optional: true
 
-  '@biomejs/cli-linux-arm64-musl@2.4.15':
+  '@biomejs/cli-linux-arm64-musl@2.4.16':
     optional: true
 
-  '@biomejs/cli-linux-arm64@2.4.15':
+  '@biomejs/cli-linux-arm64@2.4.16':
     optional: true
 
-  '@biomejs/cli-linux-x64-musl@2.4.15':
+  '@biomejs/cli-linux-x64-musl@2.4.16':
     optional: true
 
-  '@biomejs/cli-linux-x64@2.4.15':
+  '@biomejs/cli-linux-x64@2.4.16':
     optional: true
 
-  '@biomejs/cli-win32-arm64@2.4.15':
+  '@biomejs/cli-win32-arm64@2.4.16':
     optional: true
 
-  '@biomejs/cli-win32-x64@2.4.15':
+  '@biomejs/cli-win32-x64@2.4.16':
     optional: true
 
   '@braintree/sanitize-url@7.1.2': {}
@@ -5352,12 +5385,12 @@ snapshots:
       '@tailwindcss/oxide-win32-arm64-msvc': 4.3.0
       '@tailwindcss/oxide-win32-x64-msvc': 4.3.0
 
-  '@tailwindcss/vite@4.3.0(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))':
+  '@tailwindcss/vite@4.3.0(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))':
     dependencies:
       '@tailwindcss/node': 4.3.0
       '@tailwindcss/oxide': 4.3.0
       tailwindcss: 4.3.0
-      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0)
+      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0)
 
   '@types/chai@5.2.3':
     dependencies:
@@ -5545,67 +5578,67 @@ snapshots:
       d3-selection: 3.0.0
       d3-transition: 3.0.1(d3-selection@3.0.0)
 
-  '@vitest/coverage-v8@4.1.7(vitest@4.1.7)':
+  '@vitest/coverage-v8@4.1.8(vitest@4.1.8)':
     dependencies:
       '@bcoe/v8-coverage': 1.0.2
-      '@vitest/utils': 4.1.7
-      ast-v8-to-istanbul: 1.0.0
+      '@vitest/utils': 4.1.8
+      ast-v8-to-istanbul: 1.0.3
       istanbul-lib-coverage: 3.2.2
       istanbul-lib-report: 3.0.1
       istanbul-reports: 3.2.0
       magicast: 0.5.3
-      obug: 2.1.1
+      obug: 2.1.2
       std-env: 4.1.0
       tinyrainbow: 3.1.0
-      vitest: 4.1.7(@types/node@25.9.1)(@vitest/coverage-v8@4.1.7)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))
+      vitest: 4.1.8(@types/node@25.9.1)(@vitest/coverage-v8@4.1.8)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))
 
-  '@vitest/expect@4.1.7':
+  '@vitest/expect@4.1.8':
     dependencies:
       '@standard-schema/spec': 1.1.0
       '@types/chai': 5.2.3
-      '@vitest/spy': 4.1.7
-      '@vitest/utils': 4.1.7
+      '@vitest/spy': 4.1.8
+      '@vitest/utils': 4.1.8
       chai: 6.2.2
       tinyrainbow: 3.1.0
 
-  '@vitest/mocker@4.1.7(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))':
+  '@vitest/mocker@4.1.8(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))':
     dependencies:
-      '@vitest/spy': 4.1.7
+      '@vitest/spy': 4.1.8
       estree-walker: 3.0.3
       magic-string: 0.30.21
     optionalDependencies:
-      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0)
+      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0)
 
-  '@vitest/pretty-format@4.1.7':
+  '@vitest/pretty-format@4.1.8':
     dependencies:
       tinyrainbow: 3.1.0
 
-  '@vitest/runner@4.1.7':
+  '@vitest/runner@4.1.8':
     dependencies:
-      '@vitest/utils': 4.1.7
+      '@vitest/utils': 4.1.8
       pathe: 2.0.3
 
-  '@vitest/snapshot@4.1.7':
+  '@vitest/snapshot@4.1.8':
     dependencies:
-      '@vitest/pretty-format': 4.1.7
-      '@vitest/utils': 4.1.7
+      '@vitest/pretty-format': 4.1.8
+      '@vitest/utils': 4.1.8
       magic-string: 0.30.21
       pathe: 2.0.3
 
-  '@vitest/spy@4.1.7': {}
+  '@vitest/spy@4.1.8': {}
 
-  '@vitest/utils@4.1.7':
+  '@vitest/utils@4.1.8':
     dependencies:
-      '@vitest/pretty-format': 4.1.7
+      '@vitest/pretty-format': 4.1.8
       convert-source-map: 2.0.0
       tinyrainbow: 3.1.0
 
-  '@volar/kit@2.4.28(typescript@5.9.3)':
+  '@volar/kit@2.4.28(typescript@6.0.3)':
     dependencies:
       '@volar/language-service': 2.4.28
       '@volar/typescript': 2.4.28
       typesafe-path: 0.2.2
-      typescript: 5.9.3
+      typescript: 6.0.3
       vscode-languageserver-textdocument: 1.0.12
       vscode-uri: 3.1.0
 
@@ -5660,9 +5693,9 @@ snapshots:
 
   '@vtbag/utensil-drawer@1.2.16': {}
 
-  '@wave-rf/astro-themed-mermaid@0.3.1(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))(rehype-mermaid@3.0.0(playwright@1.60.0))':
+  '@wave-rf/astro-themed-mermaid@0.3.1(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))(rehype-mermaid@3.0.0(playwright@1.60.0))':
     dependencies:
-      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)
+      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)
       rehype-mermaid: 3.0.0(playwright@1.60.0)
       unist-util-visit: 5.1.0
 
@@ -5670,10 +5703,10 @@ snapshots:
     dependencies:
       '@cloudflare/workers-types': 4.20260521.1
 
-  '@wave-rf/starlight-llm-tools@0.3.1(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))':
+  '@wave-rf/starlight-llm-tools@0.3.1(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))':
     dependencies:
-      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
-      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)
+      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
+      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)
 
   acorn-jsx@5.3.2(acorn@8.16.0):
     dependencies:
@@ -5736,7 +5769,7 @@ snapshots:
 
   assertion-error@2.0.1: {}
 
-  ast-v8-to-istanbul@1.0.0:
+  ast-v8-to-istanbul@1.0.3:
     dependencies:
       '@jridgewell/trace-mapping': 0.3.31
       estree-walker: 3.0.3
@@ -5744,9 +5777,9 @@ snapshots:
 
   astring@1.9.0: {}
 
-  astro-expressive-code@0.42.0(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)):
+  astro-expressive-code@0.42.0(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)):
     dependencies:
-      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)
+      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)
       rehype-expressive-code: 0.42.0
 
   astro-vtbot@2.1.12:
@@ -5757,7 +5790,7 @@ snapshots:
       '@vtbag/turn-signal': 1.3.1
       '@vtbag/utensil-drawer': 1.2.16
 
-  astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0):
+  astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0):
     dependencies:
       '@astrojs/compiler': 4.0.0
       '@astrojs/internal-helpers': 0.9.1
@@ -5809,8 +5842,8 @@ snapshots:
       unist-util-visit: 5.1.0
       unstorage: 1.17.5
       vfile: 6.0.3
-      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0)
-      vitefu: 1.1.3(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))
+      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0)
+      vitefu: 1.1.3(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))
       xxhash-wasm: 1.1.0
       yargs-parser: 22.0.0
       zod: 4.4.3
@@ -6954,6 +6987,10 @@ snapshots:
     dependencies:
       commander: 8.3.0
 
+  katex@0.17.0:
+    dependencies:
+      commander: 8.3.0
+
   khroma@2.1.0: {}
 
   kleur@4.1.5: {}
@@ -7045,8 +7082,8 @@ snapshots:
 
   magicast@0.5.3:
     dependencies:
-      '@babel/parser': 7.29.3
-      '@babel/types': 7.29.0
+      '@babel/parser': 7.29.7
+      '@babel/types': 7.29.7
       source-map-js: 1.2.1
 
   make-dir@3.1.0:
@@ -7727,6 +7764,8 @@ snapshots:
 
   obug@2.1.1: {}
 
+  obug@2.1.2: {}
+
   ofetch@1.5.1:
     dependencies:
       destr: 2.0.5
@@ -7864,13 +7903,13 @@ snapshots:
       path-data-parser: 0.1.0
       points-on-curve: 0.2.0
 
-  postcss-load-config@6.0.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.3)(yaml@2.9.0):
+  postcss-load-config@6.0.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.4)(yaml@2.9.0):
     dependencies:
       lilconfig: 3.1.3
     optionalDependencies:
       jiti: 2.7.0
       postcss: 8.5.15
-      tsx: 4.22.3
+      tsx: 4.22.4
       yaml: 2.9.0
 
   postcss-nested@6.2.0(postcss@8.5.15):
@@ -8275,9 +8314,9 @@ snapshots:
 
   stackback@0.0.2: {}
 
-  starlight-image-zoom@0.14.2(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))):
+  starlight-image-zoom@0.14.2(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))):
     dependencies:
-      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       mdast-util-mdx-jsx: 3.2.0
       rehype-raw: 7.0.0
       unist-util-visit: 5.1.0
@@ -8285,11 +8324,11 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  starlight-links-validator@0.24.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)):
+  starlight-links-validator@0.24.0(@astrojs/starlight@0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)))(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)):
     dependencies:
-      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0))
+      '@astrojs/starlight': 0.38.5(astro@6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0))
       '@types/picomatch': 4.0.3
-      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.3)(yaml@2.9.0)
+      astro: 6.3.7(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(rollup@4.60.4)(tsx@4.22.4)(yaml@2.9.0)
       github-slugger: 2.0.0
       hast-util-from-html: 2.0.3
       is-absolute-url: 5.0.0
@@ -8430,7 +8469,7 @@ snapshots:
   tslib@2.8.1:
     optional: true
 
-  tsup@8.5.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.3)(typescript@6.0.3)(yaml@2.9.0):
+  tsup@8.5.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.4)(typescript@6.0.3)(yaml@2.9.0):
     dependencies:
       bundle-require: 5.1.0(esbuild@0.27.7)
       cac: 6.7.14
@@ -8441,7 +8480,7 @@ snapshots:
       fix-dts-default-cjs-exports: 1.0.1
       joycon: 3.1.1
       picocolors: 1.1.1
-      postcss-load-config: 6.0.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.3)(yaml@2.9.0)
+      postcss-load-config: 6.0.1(jiti@2.7.0)(postcss@8.5.15)(tsx@4.22.4)(yaml@2.9.0)
       resolve-from: 5.0.0
       rollup: 4.60.4
       source-map: 0.7.6
@@ -8458,7 +8497,7 @@ snapshots:
       - tsx
       - yaml
 
-  tsx@4.22.3:
+  tsx@4.22.4:
     dependencies:
       esbuild: 0.28.0
     optionalDependencies:
@@ -8476,8 +8515,6 @@ snapshots:
     dependencies:
       semver: 7.8.0
 
-  typescript@5.9.3: {}
-
   typescript@6.0.3: {}
 
   uc.micro@2.1.0: {}
@@ -8600,7 +8637,7 @@ snapshots:
       '@types/unist': 3.0.3
       vfile-message: 4.0.3
 
-  vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0):
+  vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0):
     dependencies:
       esbuild: 0.27.7
       fdir: 6.5.0(picomatch@4.0.4)
@@ -8613,26 +8650,26 @@ snapshots:
       fsevents: 2.3.3
       jiti: 2.7.0
       lightningcss: 1.32.0
-      tsx: 4.22.3
+      tsx: 4.22.4
       yaml: 2.9.0
 
-  vitefu@1.1.3(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0)):
+  vitefu@1.1.3(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0)):
     optionalDependencies:
-      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0)
+      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0)
 
-  vitest@4.1.7(@types/node@25.9.1)(@vitest/coverage-v8@4.1.7)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0)):
+  vitest@4.1.8(@types/node@25.9.1)(@vitest/coverage-v8@4.1.8)(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0)):
     dependencies:
-      '@vitest/expect': 4.1.7
-      '@vitest/mocker': 4.1.7(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0))
-      '@vitest/pretty-format': 4.1.7
-      '@vitest/runner': 4.1.7
-      '@vitest/snapshot': 4.1.7
-      '@vitest/spy': 4.1.7
-      '@vitest/utils': 4.1.7
+      '@vitest/expect': 4.1.8
+      '@vitest/mocker': 4.1.8(vite@7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0))
+      '@vitest/pretty-format': 4.1.8
+      '@vitest/runner': 4.1.8
+      '@vitest/snapshot': 4.1.8
+      '@vitest/spy': 4.1.8
+      '@vitest/utils': 4.1.8
       es-module-lexer: 2.1.0
       expect-type: 1.3.0
       magic-string: 0.30.21
-      obug: 2.1.1
+      obug: 2.1.2
       pathe: 2.0.3
       picomatch: 4.0.4
       std-env: 4.1.0
@@ -8640,11 +8677,11 @@ snapshots:
       tinyexec: 1.1.2
       tinyglobby: 0.2.16
       tinyrainbow: 3.1.0
-      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.3)(yaml@2.9.0)
+      vite: 7.3.3(@types/node@25.9.1)(jiti@2.7.0)(lightningcss@1.32.0)(tsx@4.22.4)(yaml@2.9.0)
       why-is-node-running: 2.3.0
     optionalDependencies:
       '@types/node': 25.9.1
-      '@vitest/coverage-v8': 4.1.7(vitest@4.1.7)
+      '@vitest/coverage-v8': 4.1.8(vitest@4.1.8)
     transitivePeerDependencies:
       - msw
 
diff --git a/pnpm-workspace.yaml b/pnpm-workspace.yaml
index bc7d4246..c51278ee 100644
--- a/pnpm-workspace.yaml
+++ b/pnpm-workspace.yaml
@@ -31,5 +31,5 @@ engineStrict: true
 
 catalog:
   typescript: "^6.0.3"
-  vitest: "^4.1.6"
+  vitest: "^4.1.8"
   "@types/node": "^25.9.1"
diff --git a/tests/e2e/sdk/package.json b/tests/e2e/sdk/package.json
index 7c18dff3..591cfa5a 100644
--- a/tests/e2e/sdk/package.json
+++ b/tests/e2e/sdk/package.json
@@ -14,7 +14,7 @@
   },
   "devDependencies": {
     "@types/node": "catalog:",
-    "@vitest/coverage-v8": "^4.1.6",
+    "@vitest/coverage-v8": "^4.1.8",
     "eventsource": "^4.1.0",
     "typescript": "catalog:",
     "vitest": "catalog:"