How as an individual can I know if the Earth is a sphere or a flat disc? What experiment can I do that doesn't involve trusting information from a 3rd party that would prove what the geometry really is?

I have actually read an article that the earth is not really flat. And it is scientifically proven. Don't you see NASA's program where they capture pictures of EARTH from space? It's really a sphere but not a perfect one. It looks like a deformed sphere at all.