(edit to answer the edit)
There's evidence in some Sanskrit texts that early Indian civilizations did, but they are probably contemporary to the Greeks.
But again, even superficial observations are sufficient. You don't really have to "trust" anybody or research anything. If anything, it's the belief in flat earth that requires extremely convoluted and unintuitive rationalizations.
Again, I understand this stuff is frustrating, because unwillingness to change one's mind in front of overwhelming contrary evidence is one of the worst possible behaviors.
They might believe the claim in the sense they'd pass a lie detector test, but I doubt it's because they find the argument genuinely convincing.
> early christians
This isn't true, either. Some early Christians might have stuck to a literal interpretation of the sacred texts, but the Church has strongly opposed that belief since the very beginning. I don't have any particular axe to grind, but this is really just a myth: https://en.wikipedia.org/wiki/Myth_of_the_flat_Earth