Doesn't matter. You just swamp them with volume. The thing about mis/disinformation is that it moves to fill voids, not unlike gas rushing into a vacuum; falsehoods have a first mover advantage because it takes less time to make something up than to report it accurately. But if you're generating interesting content on the regular, conspiracy stuff gets sidelined.

A simpler example again than a rover would just be installing a camera on the Moon that points back at Earth and beaming a high-res whole planet image in real time. The lack of imagination in existing space projects is just deplorable. If you want a bigger science budget, a planetary selfie stick will pay off in spades. Flat earth people will dry up and blow away after a year of people being able to look at the planet they live on and see weather patterns, wildfires etc.