People disengage with “facts” thrown at them because it’s weird to throw random “facts” at people. You have to get to know people first or else you come off as a weirdo. Even worse when the facts sound conspiratorial in nature. At that point they may disengage if: 1. They cannot validate your claim on the spot, or 2. Your facts are stupid and wrong and you misinterpreted some information and came to wrong conclusions and they sense it, but won’t say anything to avoid confrontation and further argument.
If a person who frequently believes in conspiracies that can and have been debunked comes to me with “facts” I’d also dismiss them. “What do you want me to do with that?” Is exactly something one might say.
If you think you’re the smartest person in the room, you’re probably not.