So at the end of the Last Battle Moghedien was captured as damane and brought to Ebou Dar. But the former forsaken was also chained by her cour'sovra that Moridin granted to her in their last meeting.
Now I would ask: the Mind'trap is it still functioning after the new sealing of Shai'tan? If it is so Moghedien can't be kept as a normal damane. She has to explain how the object is working because if it is brocken she will loose totally her mind.