A good patch job should be fine. Back in my early Pelican days, I can't remember if I was short on cash after purchasing my 911SC or just procrastinating but I was still running the aging tires on the car before buying 4 new ones. I went to my first DE at Willow Springs and MMarsh was piloting my car as an instructor with me in the passenger seat, showing me the line around the track.
He was driving the SC at around 8-9/10ths and it was getting really squirley and sideways in the high-speed turns but he was catching it. He said something like, "feels weird," so we pitted. Turns out I had a screw in one rear tire and it was down to about 10 lbs of air and looking flat. We plugged it on the spot and finished the track day.
I learned a couple of things that day. One was that I definitely needed new tires right away and the other was that MMarsh was faster around Big Willow with a flat tire than I was with 4 good ones.
