I had the same problem with the drivers side headlight motor on a 95 Firebird. Took it apart and saw the warped plastic gear. Unfortunately, in my troubleshooting (several years ago) I also took apart the drive motor assembly and out shot one of the brush springs. So if you do decide to take apart the actual motor part for whatever unknown reason, be very careful because the brush springs are very small and do blend in with concrete driveways and front lawns. The brushes are smart and move fast too. I could track one when it flew, but the other one went in the opposite direction and got away!
Then about 2 years ago, I came across a website that had directions on recovering the headlamp motor function by carefully repositioning the nylon gear so the the remaining 'good' side was contacting the metal worm gear. (From human memory) They did that by carefully taking the assembly apart enough to separate the metal worm drive from the nylon gear, and then turning the nylon gear 180 degrees so that the metal worm gear interfaced with a good run of plastic. I never tried it due to time constraints and the lack of some brushes. But it seemed very plausible to me. Back then I found the site using a google search for Firebird headlights.
- Wisdom