docs(install): polish binary install destination phrasing

[ege-arhan]

Small documentation phrasing improvement in docs/user/install.md clarifying binary installation to ~/.local/bin.

[macroscopeapp]

Approvability

Verdict: Approved at b04afbb

Macroscope's review found this PR approvable — This PR only clarifies the wording of the documented binary installation destination; commands, paths, and runtime behavior remain unchanged. It introduces no production, configuration, schema, or static-analysis changes.

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🧰 Additional context used

📚 Code guidelines (1)

AGENTS.md — auto-discovered

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ℹ️ Recent review info

⚙️ Run configuration

• Configuration used: Repository: pingdotgg/t3code/.coderabbit.yaml
• Review profile: CHILL
• Plan: Advanced
• Run ID: fd2c0e07-393b-4a80-8f43-6a6788e90854

📥 Commits

Reviewing files that changed from the base of the PR and between 4ee6bfd and b04afbb.

📒 Files selected for processing (1)

• docs/user/install.md

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📝 Walkthrough

Walkthrough

The installation instructions now state that the installer installs the t3 binary to ~/.local/bin.

Changes

Installation instructions

Layer / File(s)	Summary
Clarify installed binary docs/user/install.md	The instructions now identify t3 as a binary installed to ~/.local/bin.

Priority: ⬇️ Low

Estimated code review effort: 1 (Trivial) | ~2 minutes

Change: Other

Suggested reviewers: juliusmarminge

Merge Risk: ⚪ Minimal · up to b04af

The installation instructions remain usable. The wording is slightly imprecise about the launcher versus executable, but does not materially disrupt installation.

Architecture Summary

Architecture risk: 🔵 Low · up to b04af

The change affects 1 system.

Changed systems: docs

Architecture concerns
No architecture-level concerns identified.

Review details

Systems and components

• observed — docs (service) was modified; 1 changed file maps to changed impact.

Before / after behavior

• observed — Modified behavior in docs/user/install.md: The installation text now identifies t3 as a binary installed to ~/.local/bin, replacing the statement that t3 is put there.

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name	Status	Explanation	Resolution
Description check	⚠️ Warning	The description summarizes the wording change, but it does not include the required Problem, Change, Scope and approval, or Verification details.	Add the required sections. State the problem and expected behavior, explain the wording change, explain why this small focused change does not need prior approval or link the relevant issue or approval, and describe the manual check perform…

✅ Passed checks (4 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title clearly describes the documentation change: it clarifies the binary installation destination.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check. Docstring coverage is scoped to functions touched by this diff. Analyzed 0 functions across 0…
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

Full details: Description check

Resolution

Add the required sections. State the problem and expected behavior, explain the wording change, explain why this small focused change does not need prior approval or link the relevant issue or approval, and describe the manual check performed and anything not checked.

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