Tow truck arrived within half an hour. When it came time for the paperwork, the driver was surprised that I had called AAA; apparently the state police had also called for a tow truck, and coincidentally they had called the same garage as I had asked for from AAA. However, he patiently waited while I called AAA and got it sorted it, so I didn't need to pay out of pocket. Turns out the car is no longer operable; 40 West let us leave the car there several days while we arranged a donation.