We thought about doing that also... go to the local tire store and have a plug fix for a few bucks.
But Tesla service mobile van arrived early, and an expert tech took care of the tire and nail 100%. All in our driveway.
1. WE move the MY, not the tech.
2. Tech lifted the MY and removed the tire, then the nail.
3. In the mobile Tesla van, she then removed the tire from the wheel.
4. Tech then ground down the inside of the tire and repaired the tire from the inside.
5. Mounted the repaired tire back on our MY and that was that. Can not see any repair or sign of nail spot at all.
Totally worth it, see these pix of inside the Tesla mobile repair van.