Full size or doughnut spare?

If it's a full size and it's twelve years old, it may be dry-rotted. Maybe put the 15k tire in the trunk and put two new ones up front.

Same shop as last winter? Ask for some consideration - 10% goodwill or something. If the hole is near the sidewall (inch or so, maybe in the first row of treadblocks)

I always get the road hazard warranty. Too many nails on the roads in San Antonio. I've averaged a new tire a year for the past few years.

I had the same "can't match the tire" experience last time. They gave me 40% off a new matched pair and free mounting/balancing/etc because they couldn't fix the leak and couldn't order a matching tire. These were tires with 50,000 miles, but they pro-rated the wear by tread depth.