docs: use Algolia search

[fi3ework]

Summary

use Algolia search instead of local search, need to wait for seat to be approved first.

Related Links

Checklist

• Tests updated (or not required).
• Documentation updated (or not required).

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[Copilot]

Pull Request Overview

This PR replaces the local search functionality with Algolia search for the Rstest website documentation.

• Adds Algolia search plugin configuration and dependencies
• Implements custom Search component with Algolia DocSearch integration
• Configures search parameters with language-based facet filtering

Reviewed Changes

Copilot reviewed 3 out of 4 changed files in this pull request and generated 2 comments.

File	Description
website/theme/index.tsx	Adds Algolia search component with language filtering and exports it
website/rspress.config.ts	Integrates Algolia plugin with verification content
website/package.json	Adds @rspress/plugin-algolia dependency

Files not reviewed (1)

• pnpm-lock.yaml: Language not supported

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