They'd all know it was happening, though, and you're in the same room. They'd just be admitted, and then they'd have to....
Just try to walk me through this. They wouldn't know what you were saying, but they would know from the beginning, because they'd have to recuse themselves, so they'd know it was up for debate at that meeting, and they would all go to that meeting. Then, when it came up, somebody would just leave and then come back.