Base UI MCP server

Hi guys

Would you consider creating a first party MCP server for Base UI? They make a big difference for agents and are much more effective than getting them to read the docs / use `llms.txt`. A lot of libraries are adding them for this reason eg. [shadcn](https://ui.shadcn.com/docs/mcp).

It's particularly important for new libraries since models won't have any training data on them. It makes a big difference to adoption nowadays - users gravitate towards whatever libraries have the least friction in agentic workflows.

## Benchmarks

- https://skillsmp.com/skills/jackspace-claudeskillz-skills-base-ui-react-skill-md
- https://github.com/polvallverdu/base-ui-mcp
- https://github.com/jackspace/ClaudeSkillz/tree/master/skills/base-ui-react

## Related issues

- https://github.com/mui/base-ui/issues/2262