Hi Herm45,
If I understand you, both the living room and bedroom A/C units are running. The bathroom is really cold. The bedroom is not cold. Presumably the living room is cool.
I'm going to guess you have the integrated ducts so that the bedroom A/C unit is supposed to be blowing cold air into ducts that not only have outlets in the bedroom, but also in the bathroom and living room.
So, maybe run an experiment in the morning before it gets too hot: turn off the living room A/C and just run the bedroom unit. Check the airflow to see whether cold air is coming out of the bathroom duct, and only a little or none out of the bedroom ducts. You should also feel some at the living room ducts.
If you're getting warm air, it's the bedroom A/C unit not working correctly. Of course make sure the thermostat is set on cool with fan on AUTO and an appropriate set point. If that's all ok, maybe there's a problem with the A/C unit.
If you get cold air in the bathroom outlet and living room outlets, the A/C unit is ok, but you may have some blockage in the bedroom vents and your dealer will have to correct it.