DRIVES BGM
Yes, they do have something called plastic welding, had it done to a prior unit, MANY years ago, in Knoxville TN. The repair held till we sold the unit, 3, maybe 4 years.
Best I remember, it was something like you describe, a plastic rod melted into the damaged surface.
At that time, at that repair facility (have no idea where or names or anything), the cost was VERY reasonable, saved our vacation, and the trip to Disney in Florida was great for the kids!!
Good luck goldenbetty with your repair!