We've had 6 tire "nails" in 16 years.
We carry a plug kit with us from Walmarts. It comes with a hand reamer and a plug insertion tool. We pull out the nail or screw after letting a little air out, ream the hole a little and push a plug in. (Plugs are basically a cord with some rubber like goop on them.)
We cut off the portion that protrudes from the top side near the surface of the tire, anything above the surface will wear away. We fill the tire with air (we carry a small 12 volt compressor). We put a little water on it to see if it leaks
. We re-install the tire. There has never been a problem with a repaired tire on our vehicles.
It's comforting to know that when we're away from anywhere we are able to make simple repairs that have worked, every time.
I should note when we re-mount the tire we torque the lug nuts. As well we have pressure sensors on our tires and see leaks
before they go literally flat, Ginny's job to watch the tire sensor display when we're driving.
Of course a previously abused or fully used tire should not be repaired, however you shouldn't be driving on it. We check our tires before every significant trip, including pressure and wear,and replace tires that wear oddly,