Mac does not shutdown properly after update to macOS 13.5

Since I updated 16” 2019 MacBookPro (i9) to macOS 13.5, it does not shut down properly. After a shutdown, the computer simply stays on, for example with the background image. If the shutdown is initiated from the login screen, it simply falls back to the login screen again. However, in the recovery mode the computer does shutdown properly; so it must have something to do with the Ventura update. I already tried reseting the SMC and NVRAM but no luck.