I understand they only accept VISA cards. Does that include a VISA bank card (ATM)?

In Jersey, you now need a membership card as of July 5, 2022.

You can use you card.

It depends on which Costco and what state. This location doesn't ask for your card. Visa and debt are accepted.

You do NOT need a membership to buy gas. They won't ask for a membership card. They DO only take VISA or ATM payments.

You still need a Costco membership to get gas