In network hospital won’t bill insurance

I have an odd situation. My doctor sent orders to the local hospitals outpatient lab for them to perform Bloodwork.

At the hospital I asked if they would be able to bill my insurance. the answer was yes- because the hospital was in network (my insurance company confirmed this) by and the local Dr had practicing rights there.

Now I have a $600+ bill (unitemized) from the hospital for the bloodwork. They refuse to bill my insurance company because they say that the doctor who ordered the bloodwork is ”not credentialed”. I find this odd as the hospital actually performed the services, not my doctor. I also cannot submit the bill to my insurance company directly as it contains no service codes etc.

Do I have any rights here or does anyone have suggestions for any next steps that might help?