Nail In Front Tire!

Plug patch, interesting.
Just ride it as is since it is not leaking - that screw probably did not even penetrate the belt. Tubeless tires do not deflate rapidly like tubed tires did unless you manage to puncture or tear the sidewall - Motorcycle Tire Construction Explained. Use the TPMS (OEM or aftermarket) to keep an eye on it and carry a compact plug kit and pump with you;
DYNAPLUG Ultralite Tubeless Tire Repair Kit - RevZilla
DYNAPLUG Micro Inflator V2 Air Pump Compressor - RevZilla
I plugged-and-patched several tires the last decade or so and kept riding them till I had to replace them when reaching the tread wear limit; Is it OK to plug a tubeless motorcycle tire? - RevZilla.
 
Ryan at Fortnine has a great video on four types of tire plugs. Or tyre plugs for those across the pond
In summary, rope plugs work fine and he has no safety concerns with leaving them in. I had a back tire on my R3T with four plugs and used it until it wore out. Yet to have a front tire flat but would run on a plug no problem.
 
I grew up with a service station in the family. My Father owned a 3 bay 4 plump service station. The Sinclair symbol was to ask the driver if they wanted a fill up, check the oil, wash at least the windshield and check tires if you had the time. Oil changes and tires were the main jobs for a teenage son. Repairing Tires were a important responsibility. If a clean whole NOT on a sidewall could be plugged. Never plug a questionable whole or near the sidewall. Watching videos of motorcycle riders cornering and the distortion of the tire, I wouldn’t run a plugged tire very long. $300 is not worth a wreck. A bike on it’s side is very expensive.
 
Where is the run-flat technology here? With today's material science, it should be a no-brainer. A back tire just cost me $512.16 and the install will be another $100. If the GT eats tires like my souped-up R3T did, I expect I will need a new tire every season. As I do not know how easy it will be to get replacements, I bought one now against any shortages or shipping delays that some other parts seems to have had. From what I understand, my dealer will not install a tire that you did not buy from them, even if it is new. Is this common?
 
Never had that issue, but I assume they charge me more
 
Not really common but it is a new trend that is popping up. Any motorcycle shop that has a bike in their line up with a very wide rear tire should be able to refit a new tire for you. Can you remove the wheel yourself at home ? Some auto tire shops can fit a tire on our wheels.
 
Where is the run-flat technology here?
Saw a system a few years ago called Rhinotire that looked interesting, but nothing ever came of it. Website is pretty much defunct at this point. I seem to recall that Dunlop tested a system even further back. I spoke to some motor cops that were involved in testing and they said it worked, but made the bikes pretty much unrideable.