I have a potentially stupid thermodynamic question. Since carbon air capture is essentially going from a high entropy state to a low entropy state, would it be

I have a potentially stupid thermodynamic question. Since carbon air capture is essentially going from a high entropy state to a low entropy state, would it be dumping more in the form of waste heat into the environment than you would save from warming caused by CO2 in the atmosphere? I already have an answer to why this reasoning is wrong - CO2 acts like an insulator and traps heat in the atmosphere, and does not generate any heat directly. Just curious if that's right.