@D-Sims95,
Done properly painting over with approved paints or some other form of encapsulation is an accepted form of mold remediation.
However, the question remains of the source of moisture for this mold ie: lack of ventilation in the room or a leak somewhere behind the wall or ceiling. a good source of immediate information would be your local building code officials.
My experience is it will be simple or very complicated requiring opening walls and that process is a "hazardous" materials situation. Black mold is very dangerous and treated on a level that lead remediation is. Simple encapsulation or removal and disposal of materials into a special facility.
There are tests that very quickly can tell you if this is mold or mildew. The local Building Codes and Health Department are VERY helpful.
If it were me, I'd keep that room dry and I'd stay out of it as much as possible and I'd reach out for help sooner rather than later.