I’m not disagreeing with you but I highly suggest getting something like a burner number. Google Voice and Twilio usually work for me, but sometimes they are flagged VOIP and blocked.
Most places that ask for a phone number refuse to accept Google Voice or Twilio phone numbers. It's specifically to guarantee you have a cell-phone assigned number. Can anyone confirm whether Anthropic allows Google Voice or Twilio numbers?
As you say, it's sort of a cat-and-mouse game, and I'd rather not play it. Fortunately, there are plenty of competitors that don't require a phone number.