That does not seem to be true. Either the next tokens can include "this question can't be answered", "I don't know" and the likes, in which case there is no om

That does not seem to be true. Either the next tokens can include "this question can't be answered", "I don't know" and the likes, in which case there is no omniscience. Or the next tokens must contain answers that do not go on the meta level, but only pick one of the potential direct answers to a question. Then the halting problem will prevent finite time omniscience (which is, from the perspective of finite beings all omniscience).