And then after the space race? As near as I can tell, FET still maintains that sustained space flight is impossible. If this were true, then that would mean there is no surefire way to know the shape of the Earth, in which case the conspiracy doesn't exist to cover up the fact that the Earth is flat, but just to cover up the failures of the space program.
Sorry Tom, but even if you could prove all sustained space travel is a conspiracy, I don't see how it backs up that the Earth is flat.