One of my old tech once granaded a motor. Honest tech mistake. I just called my shop insurance and explained what had happened. They cut the customer a check covering parts and labor, he then was verry happy and had us do the work. My rates did not go up at all to since we are still considered a "low claim " shop meaning we rarely have claim
OP you could have tried to claim it on your car insurance, you took it to a shop they worked on it, now its bad. Worth a try, but it might be too late now.
AA you guys could have claimed this on your shop insurance. If your a reputable proffesional shop you should have insurance covering your shop from oops mistakes.