On the weekend of August 24th, there was a really weird issue with the settings on iOS devices where users could not add a Google, Yahoo or AOL account. If you tapped on Google in order to add a new Gmail account, the button would not respond at all. If you tapped on AOL or Yahoo, the sign in screen to add the account would briefly load and then disappear.
Google users on that day were not able to make changes to their accounts because it was not accessible in the settings. It just would not work. I tested it myself and posted about it in the FHB. It was confirmed and I asked the hosts to look into it. Later that day, it resolved itself.
This was the discussion.
https://discussions.apple.com/thread/250581698
I post this merely as an FYI for you. The day that the OP posted his question here may have been what he was experiencing. It was one of the oddest things I have seen around here.