I did the Android 13 update a few hours ago on my Fairphone 3 and it generally seems to work fine, except the auto screen brightness.
I have screen brightness set to 0 and I’m in a dark room, but the brightness will jump up to somewhere between 30 and 70 percent for about 2 seconds at least once every two minutes.
I’m in a dark room and this even happens when I’m not touching the phone and with the sensors covered.
Had this problem in the beginning, too. But everytime when the brightness jumps without any reason, I manually set it back.
After two days the adaptive brightness logic learned about it, obviously, and the problem was gone.