I patched a rear tire this morning on my way into work. Had a one-inch 8/32 screw in it. grrr. Oh wait a minute, that was my mountain bike tire!
Getting back to topic, the layer structure of your tire has been disturbed. Has this small puncture created a rip/delamination point? Probably not. The
probable of that statement means a tire shop won't plug it or patch it. The ahem,
law/rule of thumb is that the tire can be plugged for the sole purpose of having it changed out at the earliest chance you get.
Don't forget that, the rule of thumb that using a plugged tire to get to a shop for a new tire is like the instructions for installing any oem part is to disconnecting the battery first.
The choice of using a plugged tire is yours. Plug and ride? Or plug and spend. Just one thing, if you plug and ride, please don't carry a pillion as they may not hold the same opinion as you re tire plugs. It should only be your butt on the line when you do the yute thing.
If you do plug it, ensure that there is not any foreign material remaining in the tire. A betterer way to plug is to break down the tire and use one of those plug/patch things. Speaking of, motorcycle plug kits are MUCH better than a standard plug (though not as good as the breakdown method). The motorcycle specific plugs have a mushroom head that seals the interior of the tire as well as fills the hole in the tire carcass.
You'll hear stories of folks that have run a plugged tire for another 5K miles. And you'll hear tales of those who immediately replaced the tire. It's your butt on the line, you choose. That is the beauty of it! It is still OUR choice.