The Law of Non-Contradiction in the Tetralama

The fourth item in the Tetralama just always violate the law of non-contradiction so it seems like you can get that one for free ah well that is that is yet another kind of worms I think this is a good objection. The way this is usually handled is by distinguishing two different forms of negation which preserve certain presuppositions made in the negated propositions and others that don't. If someone comes along and says to me well it's neither true nor false then it looks like they're violating the laws of logic right?