According to this comment three months ago [1] "they used 6%-20% CO2 mixtures with balance nitrogen and some water to try and approximate different exhausts including flue gas".
I don't imagine this would be particularly efficient, however.
GP proposed to filter out O2 by burning carbon. This will create a CO2-rich gas, perhaps at about 30% (depends of the density of CO2 compared to O2).
GP didn't mean that we deplete oxygen in the athmosphere, but that this is an intermediate step inside the CO2 scrubbing apparatus. Perhaps that's why you got downvotes.
The burnt carbon will be gained back by the Gallium process, however this might not work out anyway because the process needs to be very efficient in filtering out CO2, as someone else already pointed out.
In my opinion the idea of burning hydrogen seems a lot better: https://news.ycombinator.com/item?id=29994000
I do wonder if it would be much cheaper to capture CO2 by investing technology and capital into 'building' forests. What if we can irrigate Sahara and cultivate some fast-growing plants like bamboos there? Maybe that has ecological consequences but it doesn't seem to be much different than the agricultural land expansion that has happened in rainforests in the first place.
However, we do know of how the deposits of fossil fuels formed in the first place, and most places newer than the carboniferous, formed at the bottom of deep lakes and especially oceans. They form from the anoxic compaction of marine snow. Either during massive algae booms, or more slowly from slightly larger corpses. This process is slow for several reasons, but a significant, in particular for the latter category, one is the lack of surfaces for attachment on the open ocean. The creation of large floating artificial coral reefs could provide this, and with it a highly productive rich ecosystem. We could further fertilize these, with iron in particular being rare, but also regular fertilizer.
That's probably why these kinds of things will likely only be super effective if taking the immediate exhaust of carbon fuel burning.
So...
1. Legally require all fossil fuel plants capture the carbon from their exhaust, which will have the knock on effect of increasing the economic cost of burning fuel, which means economic forces will naturally start to more strongly prefer carbon free sources, because they're cheaper.
2. Keep pushing for the migration to full BEVs and possibly have a similar requirement of carbon capture devices added to industrial vehicles that can't reasonably be EVs. I could see things like mining and construction vehicles go out with a tank full of fuel and return with a tank full of captured carbon to leave at a dump.
This does well to incentivize the inventors; perhaps they could be purchased rather than nationalizing the successful innovation models.
One thing I learned is that these experiments are generally done with a pure CO2 stream. The reactions taking place often compete with other molecules (especially O2), making this approach best for capturing carbon from tailpipes and smokestacks. There's still a lot of work to be done to get this sort of thing to work reliably for direct air capture (which IMO will be needed to actually draw down carbon from the atmosphere).
Anyway, this research is being commercialized via a company called LMPlus (https://lmplus.com.au). While I appreciate that the technology is being brought to market, it probably means that future breakthroughs will occur in private labs, protected by patents and trade secret laws.
We have a an urgent need to conduct more of this kind of research out in the open and to make breakthrough carbon capture technology available to everyone, for free. If you're interested in helping out on this front, please consider joining me in the OpenAir Collective discord (https://openaircollective.cc/).