Why not launch the CO2 canisters into space?
Time for some number crunching
I use a very simple case, because the numbers will be so staggering high, we can ignore details as the weight of the canister, the energy cost to freeze the CO2 to get it compact and the effect that if we would use a rocket, there is the drag energy of the atmosphere, and much of the energy used is to launch fuel up as well: we need a big first stage to get up a much smaller rocket with fuel, etc.
We ignore all these (big) ineffeciency effect as if we could launch from some supercannon at the himalaya those canisters into space.
Two cases both calculated for a 1 kilo load:
1. we launch a canister to 100 km height and give an additional blast for enough speed that keeps the canister into a 100 km high orbit
The potential energy needed is 967,000 joule, or rougly one million joules. This low amount I will ignore for the rest of the calc.
To stay in orbit at that 100 km, and not fall back, the canister needs to have an orbital speed of of 7.85 km/sec. The kinetic energy needed is 0.5*
mv2, with m in kilo and v in m/sec, or 0.5*1*7,850*7,850 = 30,811,250 joules.
This needs roughly 31 million joules.
https://www.sciencelearn.org.nz/resources/272-launching-satellites
However, we do not want to pile up a scrap yard of CO2 canisters, we do not want after a while a kind of outher atmosphere of CO2 around the Earth, we want to canisters shot to outher space.
To escape the gravitational field of the Earth, we need a speed higher than the escape velocity of the Earth, higher than 11.2 km/sec. By that the cannister, or better that CO2, will stay in our solar system as a gas.
How much energy will that cost ?
The kinetic energy needed is 0.5*
mv2, with m in kilo and v in m/sec, or 0.5*1*11,200*11,200 = 62,720,000 joules. This needs 63 million joules.
With as conversion that 1 kWh is 3.6 million joules, that 63 million joules needed converts to 17.5 kWh needed to shoot 1 kilo CO2 to a solar orbit.
As such still meaningless numbers.
Giving some feel for that:
Assuming that 1 kWh would cost 10 cents, it would cost $1.75 per kilo, or $1,750 per ton, about tenfold as the middle cost estimate of $163 per ton to capture CO2 from the air with the devices of OP.
Taking that 5% of US GDP estimate of OP to capture all CO2 produced by the US, it would cost roughly 50% of US GDP to shoot the CO2 to solar orbit.