Well, because of the oil embargo the Germans supplied the wehrmacht with synthetic gas and obtained it from coke gas (co + h2) thanks to the fischer-tropsch process of the 1920s.
I've been exulting at the moment. It seemed like a good idea.
then... a sharp question: but the energy to extract co2 from the air, from where do we get it? burning freshly produced or extracted gasoline? ? ?
I think the system is a snake that bites the tail
...and especially to extract carbon from its oxide.
your objection does not bend, since the world's largest slice of electricity production still comes from oil today. However, oil is slowly yielding to gas, coal and renewable sources; At some point, as long as I couldn't run my coal car, it will be useful to start producing synthetic fuels.