imo the correct path of reasoning here is revealed by the question statement: that the Predictor has never been wrong. how could this be the case? the answer is telling: this could only be the case if they could simulate you perfectly, ie, use the exact same reasoning as you will
the Predictor would have to be a superintelligence capable of scanning, digitizing, & simulating you in a sufficiently convincing representation of the real world that the copy believes its the original, trying to make a decision. if done properly, the result should be identical.