Just like Daniel's karmic system, every other system possessed a way to save its wielder's life. However, their workings varied greatly. For example, Daniel's Second Chance turned back time and allowed him a do over, while the Charmer's system allowed its wielder to use the life of one of her charmed victims, as a 'voluntary' sacrifice in order to prevent the woman they loved, from dying.
Naturally, the mental system had its own method, which consisted in turning the entire dimension in which the universal government existed, into a collective dream from which everyone would wake up from, at the same time. The theory behind it was no different from when a person, after finding themselves stuck within a nightmare where their life was currently being threatened, would immediately wake up from it the very moment they would die.