In Paypal, for example, this is the screen I reach every time I try to log in.

https://i.imgur.com/V2WbK6C.png

There is no skip button. Even worse, every method I've tried to access customer support requires I be logged into an account.

I do have an Android device at home that may support TOPT, but a lot of websites still recklessly assume you have a mobile number available.