This is akin to trying to prevent the dust bowl[0] with giant vacuum cleaners. The environment is a system. We are a function of it, not the masters of it. We need to address the feedback loops causing this crisis that we are creating.
Even if that would work - As others have pointed out, we don't have the luxury of time to deploy industrial scale carbon sequestration. And even if we did - this type of thinking still discounts nature's value. [1] Why do we think it is easier to develop and deploy industrial scale carbon sequestration equipment when we have plants that are pretty damned good at doing just that? [2]
We need a total perspective change here. Nature doesn't need saving, the concrete deserts that are cities need green roofs and trees. We need to stop useless commutes and start working from home where applicable. We need to realize that lawns are an ecological disaster. [3]
But above all else, We need to make environmental damage illegal and stop allowing companies to profit off of it.
[0] https://en.wikipedia.org/wiki/Dust_Bowl
[1]https://www.weforum.org/agenda/2018/10/this-is-why-putting-a...
[2]https://www.thoughtco.com/which-trees-offset-global-warming-...
[3]https://earther.gizmodo.com/lawns-are-an-ecological-disaster...