iTunes sign-in fails with 'Verification Failed' error

I cannot sign into iTunes. The iTunes program is a stand alone version downloaded from Apple on 10/16/26. I could not log into the Microsoft version that we were previously using either. The error is "Verification Failed There was an error connecting to the Apple Account Server." I tried every suggestion given by the Google AI bot (which was quite informative). A popular solution is to delete folder %Programdata%\Apple Computer\iTunes\adi. This does not clear the problem. It is nice that it did for somebody, but it isn't a robust fix. Whatever Apple did on their server side ought to be fixed. Can I trust that it will be?