Whatever their capacity for reason or lack thereof, I'll give LLMs this: I've never yet seen one resort to ad hominem for the lack of any more substantive counterargument.
What syllogism of yours am I meant to be having trouble with here?
Would you like to qualify your attempt to impugn my intelligence rather than countering my argument as something other than what I called it? The "fallacy fallacy" is a rather silly thing to cite in this connection; while there's merit in the point that a fallacious argument does not necessarily err in its conclusion, as far as I can tell you have not made an argument here. It is difficult to respond on substance whose presence is not yet evident.
Crazy thing is, your difficulty with this syllogism proves my point about the median human.