I offer this hypothesis, humbly in the name of the FET.
Now, even if NASA is lying and telling us that the Earth is spherical (even though it's flat), couldn't it still be possible, by the flat Earth model, to go to the moon anyway (seeing as it is allegedly spherical)?
In fact, what if we actually did go to the moon, and the only thing they're lying about is the shape?
"But why would they do that?" you may ask.
Well, this goes better with my other conspiracy theory, about how the three superstates are ruled from behind the scenes by a secret society. They give an excuse to waste tons of money on things like space programs, and nuclear weapons, to avoid increasing the quality of life.
They lie about the shape of the Earth to stop us from thinking to hard, to have our view of the world completely shattered, and perhaps *gasp* think!
That is all.