I have the same issue and found no solution yet. But at least Mac OS Ventura Beta stopped deleting the cookies from the browser when the extension fails to get them. So there is some progress there, but the bug is still not solved.
kichik
Users receive reputation points by contributing quality content to the forums.
Posts include post and replies published on the forums.
Post authors can mark replies as Accepted to indicate successful solutions.
Apple Developer Forums admins can mark replies as Apple Recommended to indicate an approved solution