What I think is this: so the UN (of Earth) acquiesce to your demand for a trillion dollars and mining rights to Ganymede. What next? It's not like you can go back to Earth and enjoy your new wealth.
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If we were talking about nukes, things would of course get far more interesting.
Nukes aimed at Earth would only have to detonate somewhere in the atmosphere, if there were enough of them.
By contrast, nukes aimed at this lunar air bubble would have to hit the bubble precisely; lacking a direct hit or an ambient atmosphere, nukes only produce radiation, blinding light ... and seismic activity if they detonate somewhere on the Moon's surface. No aerial shockwave, no convection, much less fallout, no climate changes.
Also, since Earth has greater mass, Earthbound projectiles would need less energy to escape the Moon and deorbit to Earth's atmosphere, compared to the energy that Moonbound projectiles would need to escape Earth and deorbit onto the Moon's surface.
If there was, 50 years after we acquired the capability to get there it would probably be bristling with fortresses.
Your comment was opaque, but was the first thing I thought of too