the scientific approach is think about how to refute the claim that the earth is flat using only information you personally gather
I disagree.
Science is not about having to poke everything with your own finger. In particular, science is perfectly fine with having to deal with uncertain evidence. I think your approach went out of favour somewhere around XVII century.
Ok, now your just (intentionally?) missing the point of the hypothetical.
Also, science can and has been (and certainly still is) wrong about a lot of stuff. (Nutrition being a recent less-controversial example.)
Science is a methodology, not a set of conclusions.
At any given moment in time scientists are definitely wrong about a lot of stuff.
Agreed. Which is why the scientific approach is think about how to refute the claim that the earth is flat using only information you personally gather, rather than making snarky comments about the implausibility of the conspiracy.
I disagree.
Science is not about having to poke everything with your own finger. In particular, science is perfectly fine with having to deal with uncertain evidence. I think your approach went out of favour somewhere around XVII century.