That’s full identity verification giving them a credit card. They may be required to delete the card, but they aren’t going to be required to delete a record that says we confirmed the identity of this account with a credit card on this date. If you don’t want your name and social security number tied to your google account don’t give them your credit card.

Frankly though, we all know google is the worst of the worst for privacy. Bypassing the age verification will only by OP time.