Please allow alternate emails for account use.

Hi, I have lots of problems using Gmail anything. I also don't personally own a physical phone, only an App-based phone number.
I recently got locked out of my one and only Gmail account, so now I can't enter auth code if I ever change IPs. As such, I find Google consistently problematic and would like to be able to use any email provider, such as Protonmail, for account use. Please implement more account options, as Gmail is one of the most annoying, lock-happy providers around, (Always wanting endless verification's). If I can't use another provider, I will have to switch to a different server, because I literally cant use Gmail without it freezing my account for no good reason.