There are secret bases on Moon and probably thousand people living there, also Mars.

Usa acts weak like it only has conventional kinetic weapons and platforms when it already has antigravity and all kind of force field plasma weapons like in Stargate etc.

It cant show them or adversaries (Russia, China) want one too.
They live in underground caverns and large glass domes where they grow a moss kind vegetation that makes O2. Moons surface is full of silica which is glass and they can just make large pieces and a dome.

>What do they eat and drink?

Moon has water. Theres quite likely greenhouses but main food is broight from Earth.
>How do the people get there and get back?

Well a Us air force sergeant Niara Isley said they fly there in antigravity ships and she was there. Then they did some brainwashing thing so she wouldnt remember.
https://m.youtube.com/watch?v=rqum3QTtSkM
Also, Alex Jones said in a Tim Pool show some years ago he was told by Buzz Aldrin that theres already bases on Moon and they fly from northpole and southpole and an ocean based base snd that aliens built the pyramids plus Mars has pyramids too.
>How do they get supplies, given that any rocket launch is visible for hundreds of miles?

Antigravity ships just float like a magnet to space and fly in some magnetic current in space to Moon
Alternatively they only fly to space and then use engines like possible ion or photon based and not fuel rockets for rest of the way.
>Who delivers those supplies to the rockets, and who builds the rockets?

They arent rockets and theyre built by same weapon (aerospace) companies as f35, carriers, submarines, but in secret programs and assembled in secret areas. Some are built already in space.

This photo was filmed with a polarized lens on South-Korean moon orbiter named Danuri, so it was meant to stay invisible but got accidentally caught.