I added support for SSE transport (and so Cursor) in "claude debugs for you" - an autodebugger I've been working on. It works via MCP server, so you can use via Composer (Agent) in Cursor. I don't pay for premium in Cursor myself, so would be very excited about you testing it out!

https://marketplace.visualstudio.com/items?itemName=JasonMcG...

https://github.com/jasonjmcghee/claude-debugs-for-you