if you don't know anything about how atmospheric CO2 scrubbers work i suggest reading https://en.wikipedia.org/wiki/Direct_air_capture and some of its 45 references

the top of the article has a flow diagram of a lye-catalyzed version of the lime process i was describing, a chemistry that has been used in submarines, anesthesia, and scuba diving for about a century

https://en.wikipedia.org/wiki/Carbon_dioxide_scrubber has a nice overview of the different process chemistries commonly used

Bro, you have not answered the question. How do you move and prepare the air? Think about the volume and weight of the gas that needs to be moved. See what adding fans and pretreatment does to your napkin science project and tell me how many times the total GDP of the world it costs.

There is a reason why all of science is searching for new methods for DAC right now - because what you're suggesting doesn't work at the cost and scale we need.

fans use an obviously insignificant amount of energy compared to burning lime (as you'd know if you'd ever done a process engineering calculation involving fans), air pretreatment is unnecessary for the methods i'm talking about (as i already explained), and 'all of science is searching for new methods for DAC' is the sort of nonsense that suggests you've never met a scientist in your life

the issue has only ever been that clean energy has historically been too expensive for terraforming. new methods for DAC may be economically important in a hypothetical competitive DAC market, and knocking off 50 percent or even 5 percent of the energy cost would mean a significant reduction in the absolute resources required, but they aren't going to improve on the minimum energy thermodynamically required, which is inherent to the 400ppm concentration

what's changed is that now we have a cheap source of carbon-free energy that scales to five orders of magnitude more energy than we need for this

ten years ago we didn't; without that the problem was basically unsolvable

now it's not

Alright, man, good luck. I didn't see a single answer about how you're going to physically move and prepare 5 quadrillion tons of air or why that's not necessary, but I'll sleep tight knowing that you've cracked it.

Everybody else who's reading this, maybe look up what all of the proposed DAC plants in the world look like, notice they're pretty much just a gigantic wall of fans, and think about why that might be. It's because DAC requires moving a shit-ton of air, because 400ppm isn't a lot of parts per million, and that matters.