Clear computer Kerberos ticket and certificate cache
Anyone who uses groups to assign permissions knows the problem. After the assignment to a new group, this right is not immediately effective. The tip is then usually to re-login. However, if a server is authorized e.g. to a certificate via a group membership, this means a restart of the server.
However, the correct solution is much simpler: deleting the Kerberos ticket and removing the cache entries from the certificate store.