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paint shouldn't be peeling already unless u use a pressure washer alot, which maybe u do to get bugs off or whatever. but if not, take it to the dealer and see if its covered under warranty.
How many miles when you bought the car? Could have been (poorly) repaired. The factory paint shouldn't be peeling. You should definitely take it in for warranty work.
If it is indeed the clear coat peeling take the car to the dealer ASAP and let them verify it. If they say they will take care of it make sure you look the car over very crefully before and after they have any paintwork done.