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Take door apart, hold metal dolly behind stripped hole, tap distorted screw hole metal back down with appropriate hammer. Test stock screw until satisfied. Reassemble. Don't over-tighten.
Tapping the metal down to tighten it up is the best idea. The plastic inserts will work in drywall and wood, but the thin sheet metal doesn't give that insert any surface to grip. I think it will just spin on the end of the screw, instead of allowing the screw to engage with it.
You could try plugging it with JB Weld [putty] stick epoxy, then pre-drilling hole with a smaller drill bit. As with any of those panel screws, excessive torque is the 'enemy'.
A professional method to provide a solid mounting point in a thin surface such as sheet metal or fiberglass, is to install a threaded insert. These inserts (sometimes called a threadsert, rivet-nut, or a rivnut) install in a very similar manner to a regular rivet. There are specific tools to install them, but they can also be installed without a special tool.
Harbor Freight sells an inexpensive light-duty version of the tool with 4 sizes of aluminum inserts: