You flip the argument around, suggesting that calling something “conspiracy thinking” is itself a kind of brainwashing or programming, which is a common rhetorical move in conspiratorial circles.
It’s the kind of reasoning that’s impossible to argue with because it’s built to absorb any counterargument as further evidence of its correctness. It’s like playing chess with someone who insists that any piece you take was actually yours all along and that losing is just proof you never understood the real game.