refactor(theme-search-algolia): migrate package to TS

[armano2]

Motivation

#5817

Have you read the Contributing Guidelines on pull requests?

yes

[armano2]

There is small issue with migrating this package, useContextualSearchFilters is defined within theme-classic and theme-search-algolia doesn't rely and see this package

to fix this we have to do one of 2 thinks

• theme-search-algolia has dependency on theme-classic
• useContextualSearchFilters is moved to theme-common (this seem to be a better option)

i can fix it both ways, but I'm unsure witch one is preferred

cc @Josh-Cena

[netlify]

✔️ [V2]
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🔨 Explore the source changes: 6a67df4

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[github-actions]

⚡️ Lighthouse report for the changes in this PR:

Category	Score
🟠 Performance	88
🟢 Accessibility	98
🟢 Best practices	100
🟢 SEO	100
🟢 PWA	95

Lighthouse ran on https://deploy-preview-5935--docusaurus-2.netlify.app/

[slorber]

Thanks 👍 good enough to merge

Now that we have TS here it will be better to refactor a bit because it's quite messy 🤪