Some flat-Earthers are confused that two observers on the opposing locations on Earth can observe the Moon at the same time, and they would use it as ‘proof’ that the Earth is not a sphere. It is merely a spatial cognition problem by the flat-Earthers.
Any observer on Earth’s surface has 180° vertical field of view over the entire sky. They can observe objects low on the horizon, not just objects above them. Observers on the opposing sides of the Earth would have no problem seeing the Moon at the same time.