This manual roof window appears to be the main culprit in this room. The large gap all around the edge is letting in a lot of moisture. Notice how the drywall surrounding it has begun to crumble. Air sealing the windows and any other cracks in this room will prevent an excessive amount of moisture to enter the room. This will prevent the new drywall tape from peeling. If air sealing is not done in this room, no matter how many times they re-tape the drywall it will continue to peel away.