How do you argue with conspiracy theorists?

I can’t help but notice that when you argue with a conspiracy theorist, eventually they will give you some derivation of the “You just go ahead and believe what you were told, I’ll think for myself, thank you very much” argument.

Of course, they aren’t thinking for themselves. They’re taking the word of unqualified nut-cases, they’re discounting relevant data, they’re ignoring thousands of experts, they make no attempt to vet their data and they summarily reject everything that challenges their preconceived notions. They accuse their opponents of believing the “official story”, but any attempt you make to verify your claims or disprove theirs is met with a stone wall. It doesn’t matter what credential you bring to the discussion, nor does it matter how little credential they bring.

So is there no point? Is there a method that works? Curious how you handle this situation. I’m also wondering how many conspiracy theorist trolls this question will attract…