This right here is the great schism between the two sides of American politics, the reason why a duopoly is harmful even in politics.
By your calculation she doesn’t do any critical thinking. Well, she does, just not in your world. You have no idea what that thinking is, the path to it makes no sense to you, so you won’t try and therefore there’s no way to actually combat that.
Sure, you can try to reason on your own terms, with proof and what not like a reasonable person.
She might be a reasonable person but the thing is a politician doesn’t speak her mind, she needs to speak for her constituents. More precisely for the majority of her constituents that may be in no small part right wing conspiracy nuts. Sure, there is a reason they became that.
My point is that there is a logic behind it but dismissing it serves absolutely no purpose.