I updated my iPhone 13pro also and the text messages have gone crazy. At times I can’t even open the message app but after can’t trying it’s opens but click on a message to read or reply. sometimes I’m able to read the message but if I’m lucky and the screen doesn’t freeze up I send a message in green and at times it does not send it. I reported to problem to apple via the diagnostic app on numerous occasions but not heard a reply . Got to a stage I feel like putting the phone in a draw and forgetting it.