Trailer lights - Need Assistance

I plugged in my trailer plug to truck receptacle. All lights work correctly except for the right rear taillight that I just replaced. The wires appear to be reversed. When running lights are on the stop (brighter filament)light is on making that taillight brighter than the other one.

I did replace the tail light housing and lens but there are only three wires (brown for running lights, Green for stop/turn, and white for ground. I even put the old housing back obn to check and still does not correct problem.

I also hooked up my boat to see if truck receptacle was wired OK and the lights work perfect.

I can't recall if the lights worked OK before since I only trailered once for a few miles.

If I reverse the brown and green wires at tailight, all works well. Not sure if that is the correct solution.

Help!!!

Thanks