[jhv48]

Carry a tire plug kit, a cheap 12 volt air pump (harbor freight for about $12) and needle nose pliers at all tlmes.
Just roll the car until the nail/screw is visible in the tire. Then pull it out and insert a plug. Then hook the pump to your battery and inflate the tire. You’re back on the road again.
I’ve had plugged tires last for years. But you can have the tire professionally repaired when you get back to the barn.
If the hole is in the sidewall, you might have to call the flatbed.