Why not just use bio waste and turn it into wood gas. From there your can get methanol. Let plants do the collecting of CO2 from the air for you using solar power. Plus you get charcoal out which can be buried for carbon sequestration.
Not nearly enough wood can be grown to meet modern society’s energy needs. Europe experienced massive deforestation back when charcoal was a primary fuel for heating and smelting. South America and parts of Arica still struggle with this today.
