Tires are actually pretty complicated to make and might be the most tortured part on the Car.
Like anything manufactured you can end up with a Deffect and somtimes the Defect is not going to show up until it is used.

In the Old days they used and inside patch on the Side Walls but the Federal Government changed the Law on that.

In My case I have patched tiny sidewall holes with a tiny blob of Silicone Sealant that I let cure before mounting the Tire (I have a Harbor Freight manual Tire Mounter dis-mounter since the 1980s).

I have also used and inside patch on the sidewall on one occasion. However, the Patch is like $3-$5 each and you need to decide if that Money is not better spent on a new Tire.

I also use Tire Plugs when I have a leak in the Tread Area. In the Old Days Gas Stations and Tire Places would Plug your Tire while it is still on the Car (when they could find the leak with it on the Car); but that is also lillegal for them to do.

I have had Plugs leak later but they have never caused anything catastrophic. The Plugs are useful if you got a Flat on the Road and you can locate the Leak and pull it out and plug it with the Tire still on the Car or off if needed.

I have 12 Volt Electric Inflation Pumps In all of My Cars and before they were cheap to buy I had Manual Pumps in each of My Cars or those Tire Inflation Canister with pressurized gass in them.

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84 300D, 82 Volvo 244Gl Diesel