I can confirm they will charge for it, even if you bought the car there. I really do like their service department but this isn't something I would recommend having them do. You can pick up a tire repair kit just about anywhere for under $10 and they're not that hard to use. If you do decide to have it professionally repaired I strongly recommend having it patched, not plugged (this does require wheel and tire removal).
They do if you bought your car from there or have vehicle protection provided by them
They plugged mine for around $30. 2015 Mazda 3.
I'm sure they will. It is a full service Mazda certified shop.
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