Dealer says I need a new battery control module to see if the battery is fried

My car said it was unable to charge, then when I tried turning it on it said "initializing" for a long time. The lights and stuff work fine. I tried jumping it, no dice.

I had it towed to the dealer. They called today and said I need to pay 3000$ to get a new battery control module just to see if the battery needs to be replaced. The battery replacement would be $30000. I only paid 12k for the car so I would just get a new car if it came to that.

Googling says the battery control module should be more like 300?

What advice do you have? Should I assume the car is toast? An