Thank you so much! I came across the same issue and it was due to the silent switch being on.

2024, THANK YOU PATEL!!!

I am experiencing the same issue. My issue started happening today. I was getting an error saying my provisioning profile wasnt available so I decided to remove the Apple Developer Account with the plan of adding it back right away. However, I am not able to add the account, I get the same error: There was an error while trying to log in: Authentication service is unavailable.