Plants not only capture CO2 from the air (pump out entropy) but they also reverse the chemistry to bind C to something like a carbohydrate molecule, whereas in carbon capture they usually compress the CO2 to 1500 psi or so and inject it underground. If you do want to do something useful with the CO2 you might have an e-Fuel factory that turns CO2 into CO and, together with H2, builds up gasoline and diesel molecules via Fischer-Tropsch chemistry which directly competes with (say) making ethanol from biomass. You don’t need so much energy to separate CO2 from N2 and compress it.