Mistaken Identity leading to Insurance/Billing issues?

Does anyone have any experience with “mistaken identity” in a healthcare setting and can provide me advice?

I had a diagnostic order to have an MRE performed at a radiology center in my city. I called, shared my full name and procedure type, and was told my appointment was booked for August 17.

I showed up to my appointment, and their staff was clearly surprised. They assumed I wouldn’t be coming because they “contacted me and I hadn’t confirmed.” Long story short, they had mistakenly booked my appointment under another individual in their network with my exact same full name (different birthday, but they hadn’t asked for it). When they contacted her to confirm the appointment she, unsurprisingly, had no idea what they were talking about.

They confirmed that I was not at fault, and worked to correct their error. After scrambling to input my information into the system and confirming my insurance pre-certification with the documentation I brought with me, they performed my MRE. I got my results a few days later.

Now, fast forward. It has been three weeks since my procedure, and the radiology center has submitted nothing to my insurance (Cigna) and I’ve paid nothing. I called the generic ‘billing’ line to confirm my claim was in the works, and they told me they have “no record of my appointment” and asked me multiple times if I was sure I had it at that date/time/location. Yes. Very sure.

I was then re-routed to radiology-specific billing, then corporate billing, and so forth. No one has any record of my appointment. And I don’t know who else to call to rectify it… Or even if I should?

Do I continue to pursue this (even though it has eaten hours of my personal time)? Or do I just accept that I got a free MRE and live my life? My two worst case scenarios are: A) Girl with my name was billed for a procedure she didn’t receive or B) I’m going to be stuck with a big fat bill if, in a few months/years time they realize their error, and my insurance refuses to cover the procedure given the claim delay.

Help!?