Question about tire repair

[SparkYellow]

Folks, is it common for tire shops to plug a puncture instead of patching it? I remember when I was with a different shop years ago, they took the tire off the wheel and glued a small patch from the inside.

Now with this different shop, I notice a small ball of something protruding from the puncture spot after the repair. It costs $45. I understand that plugging is faster, but is it as solid?

 

[SparkYellow]

So there are three ways to fix a puncture: patch, plug, and plug+patch. Mine were only plugs because they were done really quickly. There was no mentioning of a subsequent patch. I will ask the shop owner today when I go back to order a new set from him.