Are you paying them?
Given an email lockout, a $100+ incidence support cost would be reasonable. But there might be legal implications there because it's likely their fault the account was (wrongly) locked out. IANAL
Though I'm not sure how far up the $$$$ chain you'd need to go, to get good support...
It's probably not possible to start doing so after you are locked out, but Google includes support as part of paid business Workspace plans, and also as part of paid consumer Google One plans.