Speaking of the fallacy fallacy, calling out someone for calling out someone for a fallacy using the fallacy fallacy is the fallacy fallacy fallacy — as an initial fallacious fumble may indeed foretell further fallacious findings in a given figure.

I know it's a joke. But he just named the phenomenon, not discredited the whole argument.

Edit: so you commited a faux meta fallacy

Oh nice to learn that. I knew a less formal version in my country which we call "the fat virgin fallacy" which is when you denounce a fallacy in a somewhat informal less strict conversation. Made popular because libertarian argie president liked to tweet and denounce fallacies like so.

The fallacy fallacy is when you dismiss a conclusion based on a faulty argument. Him not addressing the argument isn't that. Him dismissing the conclusion of the argument is that.