I've had this on my mind for a bit, but carbon capture seems to be oversold from my understanding. The way I see it, additional trees would reduce atmospheric carbon at that moment in time, but as they burn or decay it releases CO2 back to the atmosphere and the problem continues. If the issue is that we've pumped so many tons of carbon out of the Earth, the solution is to pump so many tons of carbon back in. Remove it from the cycle so that the net amount of surface carbon is reduced.

Personally, my solution is to start chucking trees down a mineshaft and backfill the shaft when it's full. It's crude but it gets the idea across.

Edit: happened to be listening to a podcast writing this and right as I finish they start talking about olivine, which is a mineral that can absorb it's weight in CO2 and prices around $7 USD/ton. Maybe a better option for carbon removal