> If doesn't convince them, nothing will.
Even that wouldn't convince them. As near as I can tell, for the majority of the ardent flat-earthers this is literally a religious belief connected to biblical literalism.
Considering that the utterly overwhelming evidence and easy-to-test-yourself demonstrations that the Earth is spheroid, combined with the ridiculousness of every flat-earth "proof" I've ever seen hasn't already done so, I think it's safe to say that nothing will.