How can this powerplant idea work? You get the binding energy from carbo hydrates, then you need to add back more thsn that energy to capture and convert all CO

How can this powerplant idea work? You get the binding energy from carbo hydrates, then you need to add back more thsn that energy to capture and convert all CO2 back to nanotubes and oxygen. The excess energy comes from solar? Fine, may make sense, but that's not going to be an electrical powerplant anymore. It's a battery factory.