AC concern Sonic 213VRK

Newbie here. Considering an SN213VRK (rear kitchen). It has a mid-bath with doors on living room and bedroom sides. Unit has no ceiling vents. Has 13,500 btu AC. No doubt works fine in models without private bedroom. Does anyone have experience with how well bedroom cools in the VRK model? Concerned doors will prevent airflow to adequately cool even though there's an open header at the top of each door. There is a ceiling vent fan in the bedroom designed to pull in air from side windows for cooling like an attic fan would do. I'm not sure if this might help draw AC in some situations. Thanks for comments!