First you need to open the glovebox. Get a pair of needle nosed pliers and pull whats left of the handle outward to release the latch (it may take a few tries) Once open there should be a couple screws on the inside, holding the latch in place. Remove the latch (it should be pretty self explanitory), then call the dealership and order a new glovebox latch, reinstall the new one. There should be no reason the mess with the lock at all.
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