For passive carbon capture, I don’t understand what you’re proposing. Let’s pretend: Joe Biden gives you a nuclear aircraft carrier and a team of nuclear engineers. Now what?
https://en.m.wikipedia.org/wiki/Direct_air_capture
DAC requires large fans to move air over a chemical filter. You need to power those fans with something that doesn’t release CO2.
Terrestrial DAC usually pumps it in to some geological formation.