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RE: The final intractable problem for the Flat Earthers...24-hour sun at the South Pole.
The higher you go, the farther you see is what your expirement shows. You have to get up really really hi to see curve according to Neal DeGrasse....
Not true in the example I presented. I'm not seeing any farther, I am actually seeing something that was blocked by the body of water when observing from a lower vantage point. I can't see any farther no matter how high I try to climb, there is a mountain as an immediate backdrop. If you were there, you wouldn't be squirming around intellectually with this. It's incontrovertible, sorry. The earth's surface has curvature.
Try looking down a long flat road standing up vs face near the ground. As you move lower towards the ground you see less & less of the distant road. The change in what can you see is due to perspective, not curvature.
There has been many detailed curvature tests over bodies of water & a lot of debate as to what they show. Look up what others have done to show curvature or lack of curvature, if you’re curious, but look up both sides as they tend to both suffer strongly from confirmation bias.
The earth may or may not have curvature but would not be provable by the type of test you described.