Blood sent to out of network lab-hospital lab says Dr order responsible

Spouse BCBS PPO, 11/22/24 primary blood work order to hospital lab (used since 2020) for blood draw. Checked in, paid copay. Lab sent blood to LabCorp (out of network) not in network (Quest). Hospital billing/lab says Dr ordered LapCorp- not their problem. I've asked Dr office for copy of lab order. What recourse do we have here, who's responsible if they're correct? Appreciate any direction.