Hey there!
If you open up your browser’s dev tools (Network tab), you should see a call for get-repository-branches.
I’d expect this is showing as failed on your end (let me know if not!), but what I’m most interested in is whether the Payload reflects the URL you’d expect for accessing your repo (did your repo move? get renamed?)
This request typically fails due to an issue with the GitHub App installation. Cursor needs to verify the app is installed correctly on the org/user/repo to retrieve branch info. It’s actually a bit unusual that we can find your repo but not its branches, so the payload details would help us narrow down what’s happening.