Comment Freeze it in Antartica, dump the CO2 clathrate (Score 1) 176
First you can FREEZE the CO2 out of the atmosphere in Antarctica relatively cheaply because at -70C the Antarctic winter is close(r) to the freezing point of CO2 (-80C)*. As was outlined in a proposal by Dr. Agee (Chairman of the Climate Change dept. at Purdue University), the refrigeration plants can be put at locations on the coast due to the cold fast winds coming from the valleys that originate in the interior high desert. In addition to being easier for construction due to ocean access, the winds will provide the power.
Some of these locations on the coast, according to bathymetric charts, are near where the ocean reaches depths of greater than 1000 meters. Here you take the newly purified CO2 and then mix it with sea water. In the presence of a catalyst (https://pubs.acs.org/doi/10.1021/acssuschemeng.1c03041) it quickly creates a carbon dioxide clathrate.
Now you just dump the clathrate into the nearby ocean depths where the pressure will keep the CO2 locked in PERMANENTLY. An undersea pipeline stretching a few tens(?) of kilometers from the refrigeration plant to the drop off point may be all that you need. This is in comparison to oil companies building undersea pipelines over 1000Km in length (Nord Stream pipeline). Considering that hundreds of billions of tons of clathrates have been present on the ocean floor for geologic ages, it is safe, stable, and environmentally friendly way of storing CO2 FOREVER.
So you've CHEAPLY (due to cold Antartica) removed CO2 from the atmosphere and permanently and SAFELY (doesn't cause acidification) disposed of it! It's worth a pilot project.
*okay okay actually -80C is the freezing point of PURE carbon dioxide at 1atm. The partial pressure of CO2 is much lower so the freezing temperature is closer to -140C. However, you can pressurize the gas (and require relatively little energy to do so) by using a energy recovery system that uses the outgoing pressurized gas to pressurize incoming gas (https://energyrecovery.com/co2-refrigeration/). They claim up to 98% energy recovered! This would allow you to freeze (and thus purify) the CO2 at Antarctic temperatures.
(Most of these ideas are not original to me but I did think up of disposing the CO2 or clathrates in the deep ocean as well as locate the appropriate locations on the Antarctic coast to do so. Otherwise I'm just putting together ideas!)