Physical and nonphysical are beside the point. The point is X influences Y does not mean Y is X.
My claim is that Y is not X.
You argue that X influences Y, therefore Y is X.
I provide a counter example that shows you cannot infer Y is X just because X influences Y. You need another premise to demonstrate from your example that Y is X.
I see, you want to (poorly and incompletely) reduce my points to a syllogism, and point out that I'm not formally proving the physical nature of the mind (which is more appropriately addressed by the last few hundred years of science than a toy logic problem).
Meanwhile, you have not presented any evidence or argument (or even actual definition) of your magical antenna hypothesis.
"You can't falsify my unfalsifyable hypothesis, therefore it must be true" is not reason, especially when your hypothesis is in no way needed to explain the oberved phenomena (and is, in fact, inconsistent with all empirical observation).
You don't get to play stupid word games and declare that therefore magic is real.
Or rather, you do, but rational people will feel free to ignore you, as I am about to do.
My claim is that Y is not X.
You argue that X influences Y, therefore Y is X.
I provide a counter example that shows you cannot infer Y is X just because X influences Y. You need another premise to demonstrate from your example that Y is X.