What’s wrong with my Bluetooth

I took my car in because my catalytic converter was stolen. I told dealership service advisor to check everything, as I was advised by sheriffs deputies who took report, as well as others. I was advised by the sheriffs deputies, and others, that other things could have been damaged during the theft. So, that was specifically part of my request.

While I was warned by everyone that catalytic converters were on back order (3 months to a year), they called me to pick up my car a few days under 3 months mark.

After paying, they couldn’t find my car. They were running around looking for it which made me believe it had been repaired days+ before.
Long story short, the console said “key not detected” and when making a call, my car Bluetooth didn’t kick-in, but my iPhone Bluetooth did, however I heard nothing. The service advisor tried to pair it, but he couldn’t do it.
My question—what is wrong with my Bluetooth? Could my Bluetooth have been damaged during the theft? Could it be that I need to reset my iPhone? Could it have been damaged because my car was sitting for 3 months? Or…? The service advisor said some part (I don’t know the name) needed to be replaced costing $1900+ and it would be my responsibility even though it worked the day before the theft. Final question: whose responsibility is it to fix?

 

Thanks

 

My phone is an iPhone 13.
Thank you for the information.

 

Thanks