There are plenty of arguments to be made against direct air capture, but entropy isn't one of them. Nobody ever claimed this is some kind of perpetuum mobile.

The point is to use a low carbon power source to power it.

That's essentially how many gases are made from mixtures, like notrogen or oxygen. Showing this as something new tells a lot about author's uderstanding. Carbon capture is not about making entirely new tech, it's optimization, and that's where startups suck at everything except for getting and then wasting cash.

That small red bulb counteracts the entropy argument because you bring energy (and quite a lot of I recall) into the system.

Would be a sad day if we no longer could reduce entropy locally under the invest of energy.