credit card verification

I am trying to verify my credit card.

I have a family plan and share with my kids and husband

The credit card on file is correct but due to a fraud issue they reissued new cards with same number but different 3 number security code on the back

I have gone in on my iMac and logged into my account on iTunes. When I go to edit payments it says I need to activate the payment method, verify the CVV. If I enter my current CVV it fails.

This is the only credit card on the account so it will not let me delete it, and now that it failed I am not able to add a new one until verify the current card.

How do I break this cycle so I can update the credit card?