The pause does not match the credit balance
Netlify's docs say projects pause once the credit balance is completely used up, and that you cannot trigger new production deploys while projects are paused. If the owning team's ledger shows usable credits for the current cycle, that condition does not appear to be met. The billing FAQ asks you to contact support if you find a problem with your billing.
How to tell: The owning team's credit ledger lists unexpired credits for the current cycle, yet production deploys are still blocked.