feat: add search to /components sidebar

[Barsnes]

Summary

Copilot generated most of this code

Checks

• I have read the contribution guidelines
• I have added a changeset (run pnpm changeset if relevant)

[changeset-bot]

⚠️ No Changeset found

Latest commit: cd4dbc4

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[github-actions]

Preview deployments for this pull request:

www - 18. Jun 2026 - 09:40

[Barsnes]

Setting this to review, but we should have a brief discussion about this

[mimarz]

Setting this to review, but we should have a brief discussion about this

This feature looks fine to me 👍