Repeated password request to enter Apple ID and password on Apple Music app on MacBook Pro

I am running MacBook Pro (Retina, 15 inch, mid 2014) on MacOS Big Sur (Ver 11.7.10). I also have a new iPhone 15 Plus running iOS 17.5.1. The system at some time upgrade from iTunes to Apple Music. I now have an issue where Apple Music is asking for my Apple ID and password all the time. I have changed it 4 times now and I'm able to get into Apple Music once and then the next day it is back and asking for the password, which I just changed through the change password on Music password screen. Changing the password makes log in with my Apple ID and password on all my devices, MacBook Pro, iWatch 6, iPad Air and iPhone 15 Plus. There has to be some way to get this to clear.

I've seen a another person with this issue and there was not explanation on how to get things working like the should. Any help would be appreciated.