Nail Punctured tire!!

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2002 Mazda Protege LX
My air pressure on my front right has been very low for a couple of days now and yesterday as I was swapping my front bumper I found out that my tire was punctured.

I've only had these tires for about 2-3 months and I know for a fact that the retailer will not cover nail punctures under warranty. I went to my mech and got it plugged as a temp fix. Any ideas on how to properly get it repaired?

Its a Falken z912 205/45/16 in case you needed to know..
 
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