Within Teamwork Spaces, you can update your payment details via your subscription settings.
Click your profile image in the top right of your site and choose Subscription from the dropdown menu.
Scroll to the Payment Info subsection of your subscription settings and click Change card.
In the Update Billing Details view, you can update the card details associated with your subscription, as well as your billing contact email and phone number.
Click the Change card option to the right of your existing card to enter new payment card details.
The form will update to show the required card information fields. Once you have filled out the relevant information, click Update to save the changes to your payment information.
For more information, see: Updating Your Billing Contact Details