Nature already invented this machine 500 million years ago. It's called a plant.
https://scitechdaily.com/scientists-just-built-a-co2-eating-machine-that-runs-on-sunlight/
https://scitechdaily.com/scientists-just-built-a-co2-eating-machine-that-runs-on-sunlight/
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This device has been built to function after we have successfully destroyed our flora. Globally if possible.
Nobody wants to quit the oil.
how much carbon fuel was needed to make the device?
this thing has a finite CS/CI, which
compares poorly with photosynthesis, which has an infinite CS/CI.