feat: description of use with ai tools

[Icemap]

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[gemini-code-assist]

Summary of Changes

Hello @Icemap, I'm Gemini Code Assist¹! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

This pull request significantly enhances the TiDB Cloud documentation by adding a new, detailed guide for integrating TiDB Cloud clusters with various AI development tools. The new document provides step-by-step instructions and configuration examples for popular platforms, enabling users to seamlessly leverage TiDB Cloud within their AI workflows. Concurrently, the documentation's navigation structure has been refined to better categorize AI-related topics, separating general AI tool usage from specific vector search functionalities.

Highlights

• New AI Tools Documentation: Introduced a comprehensive guide on how to integrate TiDB Cloud clusters with various AI development tools, providing detailed setup instructions.
• Tool-Specific Setup Guides: Added specific configuration steps and JSON examples for connecting TiDB Cloud with popular AI environments such as Cursor, Claude Code, VS Code, and Windsurf.
• Documentation Navigation Refinement: Updated the table of contents to clearly distinguish between general 'AI Tools' integration and 'Vector' search capabilities, improving discoverability.

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[gemini-code-assist]

Code Review

This pull request introduces a new documentation page explaining how to use TiDB Cloud with various AI tools, and updates the table of contents accordingly. The new document is well-structured and provides clear, step-by-step instructions for different tools. My review includes a few minor suggestions to improve clarity, consistency, and adherence to the documentation style guide, such as using sentence case for headings and refining some phrasing for better readability.

[Oreoxmt]

/cc @Oreoxmt

[ti-chi-bot]

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[Icemap]

/cc @Yuiham

[ti-chi-bot]

@Yuiham: adding LGTM is restricted to approvers and reviewers in OWNERS files.

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