It's amusing to watch folks bend over backwards to propose workarounds for the hard thing that solves the problem: developing a sustainable, energy dense fuel.
If the carbon is captured from the atmosphere and merged with water via renewable sources, that is it. We don’t do it and it isn’t proposed because the efficiency losses are crazy, and we aren’t in a world with over-abundant renewable energy widely available for pennies on the dollar (yet)
Propane can relatively easily be compressed to be liquefied at room temperature. Takes just a few bars of pressure.
By my calculation, you need to capture 0.9176 carbon atoms from the air to make propane whose energy content is the same as octane made from 1.0000 captured carbon atoms.
I used the "Std enthalpy of combustion (ΔcH⦵298)" of the 2 fuels from Wikipedia in my calculation.