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Personally for me it would depend on what it was, for example, the short video discussed earlier in this thread doesn't look to be AI or any trickery involved, so I think it's likely, also a hostile source so it helps a lot IMO but I could never know for sure unless I did it myself... That being said I think there are several proofs in it for a globe earth but also some interesting questions.

I also have to be aware of my own capabilities, so when they tried to use the maths and Earth curvature calculator, that's an argument that isn't going to help IMO, so I think we need to come up with things using modern technology that is accessible to the average person, that they can do themselves.

Personally I think the best arguments for myself are the two I've already mentioned

1) The fact that there is no such thing as an accurate 2D map of the world... as 2D Google Maps works fine for most of it but is totally broken for the North Pole for example and 2D maps of the North Pole can work fine for a while until you get to the Southern Hemisphere where the whole thing totally breaks down as it's massively warped (as I can know very clearly myself being in the Southern Hemisphere) if working outwards from the North Pole in 2D.

2) Then with a telescope we can see the Moon and some Planets and see that we are surrounded by Globes.

I'm sure there are some more too but I'd have to think of them and it depends where the person who believes in the flat Earth is at, I don't even know what the majority are thinking in terms of a flat Earth as there is no real world map picture of it in my head and I don't know what consensus if any there exists among this community, as there are certain things we should be able to rule out first as we progress the discussion IMO.

God Bless

Yes, I think you make good points. A few of my arguments are:

1) Actually seeing for myself the disappearance of objects over a large body of water when looking through a telescope. That is why no one should opine on this subject until and unless they have actually used a telescope. 
2) The rising and setting of the Sun, which can’t logically be explained without the Earth being a globe, unless you want to believe in the fairytale “spotlight”. Anyone with eyes to see and is honest would recognize that truth. 
3) The great accuracy of predicting solar and lunar eclipses and cycles using a global model, which cannot be replicated by any FE model as far as I know.
4) The perfect accuracy of measurements of oceans and land masses on a global Earth and the enormous inaccuracy of those measurements, which is glaringly obvious, on any FE model.

Yes, I think you make good points. A few of my arguments are:

1) Actually seeing for myself the disappearance of objects over a large body of water when looking through a telescope. That is why no one should opine on this subject until and unless they have actually used a telescope.
2) The rising and setting of the Sun, which can’t logically be explained without the Earth being a globe, unless you want to believe in the fairytale “spotlight”. Anyone with eyes to see and is honest would recognize that truth.
3) The great accuracy of predicting solar and lunar eclipses and cycles using a global model, which cannot be replicated by any FE model as far as I know.
4) The perfect accuracy of measurements of oceans and land masses on a global Earth and the enormous inaccuracy of those measurements, which is glaringly obvious, on any FE model.

1) That would be a problem for myself, as this is something I simply do not have realistic access to. In terms of using a telescope to look at the moon etc, I think this is a good start so at least we can rule out some things for a good starting point that the Moon and nearby Planets are all a globe which we can see first hand ourselves... telescopes shouldn't be that expensive and it's fun too... worth the money.
2) This one can actually be partially explained away by those using a 2D map of the North Pole and working outwards... because after all, a top down view of a circle and a globe isn't that dissimilar at first glance... but it totally breaks down in the southern hemisphere with how wrapped it is.
3) That's a good one IMO, but it wouldn't be a slam dunk if I were in their shoes IMO.
4) I agree, mainly that there is no such 2D map of the entire world that exists, as it always breaks down somewhere when attempting to use 2D, Google Maps for example breaks down at the North and South Poles... Only Google Earth works because it's 3D.

I also think Time Zones are another good one, but I'd still need to formulate it in my own words IMO and it depends what their thinking as 2) comes into play again IMO.

God Bless