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You're saying they took the tire off the rim and removed a staple from the tread area then put a patch on the inside of the tire. Prior to plugs, that's how they patched tubeless tires with a puncture in other than sidewall areas. I've run them out west when there was no daytime speedlimit and probably around 100 mph for some distance and never had a problem. I've also run some tires in excess of 50K miles without and issue that was patch related.
I will never use a plug putting it in can mess up the cords only inside patches for me!!!!!
I've had plugs ruin the steel belts shortly after a tire "fix". They don't leak air, but the tread warps and starts wiggling the car at low speeds and thumps loudly at highway speed. Turns a tire with lots of tread left into a piece of junk! If it's a little nail or piece of wire, it probably didn't cut any or many steel fibers, so an inside patch will stop the air leak and the steel belts won't be damaged by poking a bigger hole in the tire with a plug.