U.S. Constitution, Article 2, Section 2, #2: ”The President … shall have power, by and with the advice and consent of the Senate, to make treaties, provided two thirds of the Senators present concur.”
The Constitution’s two-thirds Senate rule regarding treaties is violated by Fast Track as it currently stands and has stood; and that provision of Fast Track (reducing the required two-thirds down to merely half of the Senators voting “Yea”) would need to be eliminated and the Constitution’s two-thirds-Senate requirement restored, in order for there to be able to be any further applications of Fast Track;