feat(packages): add mcp docs server for ai

[dancer]

background

adds an mcp (model context protocol) server that provides searchable, paginated access to ai sdk documentation, allowing ai assistants to find and retrieve relevant docs on demand

summary

• add @ai-sdk/mcp-docs-server package with three tools: search_ai_sdk_docs, get_ai_sdk_doc, list_ai_sdk_docs
• add documentation page at docs/03-ai-sdk-core/66-mcp-docs-server.mdx
• update introduction page with new "ai tooling" section covering llms.txt and mcp
• include installation instructions for cursor and claude code

verification

• all tests pass covering search, retrieval, pagination, and edge cases
• tested with cursor and claude code mcp clients
• tested edge cases: empty queries, special characters, negative limits, path traversal attempts

test with cursor locally

add to .cursor/mcp.json:

{
  "mcpServers": {
    "ai-sdk-docs": {
      "command": "node",
      "args": ["/path/to/ai/packages/mcp-docs-server/dist/index.js"]
    }
  }
}

test with claude code locally

claude mcp add ai-sdk-docs -- node /path/to/ai/packages/mcp-docs-server/dist/index.js

checklist

• Tests have been added / updated (for bug fixes / features)
• Documentation has been added / updated (for bug fixes / features)
• A patch changeset for relevant packages has been added (for bug fixes / features - run pnpm changeset in the project root)
• I have reviewed this pull request (self-review)