The profit motive creates a self-sustaining cycle of rapid expansion and iteration, which should drastically increase the efficiency per unit as well as the horizontal scale of DAC so that eventually we'll have exponentially more DAC installed and then you can decide what to do with all the excess carbon, sequestering it in whatever ways make sense.
[0] https://terraformindustries.wordpress.com/2023/01/09/terrafo...
[1] https://terraformindustries.wordpress.com/2024/02/06/terrafo...
It took solar 45 years to become low cost, and carbon capture will probably be just as difficult. If we did things one step at a time, carbon capture wouldn't be economical until ~2080, which is too late.
How do you do that?
One approach would be a revenue-neutral carbon tax on extraction of sequestered carbon. And border carbon taxes for imports from countries who don't also have an internal carbon tax.
I think any solution will have to come from industry, not government.