Well, they also would have brought it back to you. They are supposed to carry loaner tires. I've used it twice, once they did not have correct spare for my X so flat bedded it to the SC. Other time (M3) they gave me a loaner tire. Both were from my own driveway (don't ask). My point is, the tow truck companies are equipped and trained to support Tesla. I would suggest you at least call them