feat: add build with ai tools guide

[lrzhou25]

Description

1. Added Build with AI Tools guide
2. Updated menu options to include documented IDEs + MCP server
3. Fixed bug

References

Testing

Checklist

• I've read and followed CONTRIBUTING.md.
• I've tested the site build for this change locally.
• I've made appropriate docs updates for any code or config changes.
• I've coordinated with the Product Docs and/or Docs Management team about non-trivial changes.

[github-actions]

Summary

Status	Count
🔍 Total	29
✅ Successful	4
⏳ Timeouts	0
🔀 Redirected	2
👻 Excluded	19
❓ Unknown	0
🚫 Errors	4
⛔ Unsupported	0

Errors per input

Errors in main/docs/get-started/build-with-ai-tools.mdx

• [403] https://chatgpt.com/#settings/Connectors | Rejected status code (this depends on your "accept" configuration): Forbidden
• [403] https://claude.ai/settings/connectors | Rejected status code (this depends on your "accept" configuration): Forbidden
• [ERROR] https://cursor.com/docs/context/mcp#installing-mcp-servers | Cannot find fragment: Fragment not found in document. Check if fragment exists or page structure
• [ERROR] https://docs.windsurf.com/plugins/cascade/mcp#model-context-protocol-mcp | Cannot find fragment: Fragment not found in document. Check if fragment exists or page structure

Redirects per input

Redirects in main/docs/get-started.mdx

• [200] https://auth0.com/ai/docs | Redirect: Followed 1 redirect resolving to the final status of: OK. Redirects: https://auth0.com/ai/docs --> https://auth0.com/ai/docs/intro/overview

Redirects in main/docs/get-started/build-with-ai-tools.mdx

• [200] https://code.visualstudio.com/docs/copilot/chat/mcp-servers | Redirect: Followed 1 redirect resolving to the final status of: OK. Redirects: https://code.visualstudio.com/docs/copilot/chat/mcp-servers --> https://code.visualstudio.com/docs/copilot/customization/mcp-servers
  Full Github Actions output