I work in the insurance industry and my prior company used to insure a lot of auto service risks. Tire shops, quick lube places, garages that serviced corporate fleets, etc. Mistakes happen all the time, but that is why they have insurance. Go talk to the shop, let them know what happened, and they should take care of you.
Their negligence caused your property to become damaged. Legally, they are obligated to fix your property. Most businesses choose to purchase insurance to cover them in situations like this.
2014 Mustang GT Track Pack
2015 WK2 Limited 4x4