turning on two factor prompts for payment card verification for non-existent card

I have two apple IDs. One, that has my iCloud data tied to it has two factor turned on. The other, which I have used for iTunes, does not have 2FA active. I want to activate it. When I log into appleid.apple.com with my "iTunes" ID, and try to turn on 2FA, I get prompted to verify the payment method for that account. My "iTunes" ID is part of a family account, and the payment method is my wife's Apple Card. The trick is that the last 4 digits in the payment verification prompt seem to point to a card that doesn't exist. They are don't appear under "card information" for her card, nor for mine. We tried the card security code , but neither hers or mine works.

When I do get the payment card prompt on my computer, my wife gets a 2FA prompt because her card is tied to her apple ID that has 2FA turned on. When I enter that code into my payment prompt, I get an error. So I'm stuck trying to verify payment info for a card I don't own.

Ideas?