Move MCP docs from Dart site to Flutter site

[antfitch]

Description of what this PR is changing or adding, and why:

Issues fixed by this PR (if any):

PRs or commits this PR depends on (if any):

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[gemini-code-assist]

Summary of Changes

Hello @antfitch, 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 centralizes the documentation for the Dart and Flutter Model Context Protocol (MCP) server by migrating it from the Dart website to the Flutter website. This move enhances accessibility and provides a dedicated, in-depth resource for developers looking to integrate AI assistants with their Dart and Flutter projects. The new content offers comprehensive setup instructions for popular clients and illustrates practical use cases, empowering developers to leverage AI for tasks like code analysis, dependency management, and UI debugging.

Highlights

• Documentation Relocation: The comprehensive documentation for the Dart and Flutter Model Context Protocol (MCP) server has been moved from the Dart website to the Flutter website.
• New Content Integration: A new markdown file (src/content/ai/mcp-server.md) has been added, providing detailed guides on the MCP server, its capabilities, and usage.
• Updated Navigation: The sidenav.yml file has been updated to reflect the new internal permalink for the MCP server documentation, ensuring it's discoverable within the Flutter site's navigation.
• MCP Server Overview: The new documentation includes an overview of the MCP server's capabilities, such as analyzing code, resolving symbols, interacting with running applications, managing dependencies, and integrating with pub.dev.
• Client Setup Guides: Detailed instructions are provided for setting up the Dart and Flutter MCP server with various AI-assistant clients, including Gemini CLI, Firebase Studio, Gemini Code Assist (VS Code), GitHub Copilot (VS Code), and Cursor.
• Usage Examples: Practical examples demonstrate how AI agents can leverage the MCP server to fix runtime layout errors in Flutter apps and streamline package integration through pub.dev searches.

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[gemini-code-assist]

Code Review

This pull request successfully moves the documentation for the Dart & Flutter MCP server to the Flutter site by adding a new markdown file and updating the side navigation. The new documentation is comprehensive. I've identified a couple of minor issues: a redundant link and an inconsistency in a configuration example. My review includes suggestions to address these points for improved clarity and accuracy.

[flutter-website-bot]

Visit the preview URL for this PR (updated for commit 0c6470f):

https://flutter-docs-prod--pr12598-migrate-flutter-mcp-docs-kcm4vv3k.web.app

[sfshaza2]

I'd do some additional wordsmithing, but the bot is in my way. It's nothing major, so lgtm, once the bot is happy.

[sfshaza2]

lgtm