Carbon capture is extremely energy intensive and will never work without significantly increasing our energy production. The only way out of the climate crisis is to massively increase, not decrease, the amount of energy available to us
Given that solar and wind are by far the cheapest type of carbon neutral power to deploy and they are already being deployed really quickly, how do you propose doing that?
Ideally, fossil fuels should be used in the near term to bootstrap fission and fusion. Needless to say, this would only be possible with complete destruction of the NRC and other entrenched anti-nuclear forces, so it won't happen of course. Note that fission alone is sufficient to supply our current energy needs for any forseeable amount of time.[0] However, getting back on the Henry Adams curve will eventually require moving beyond fission and creating a Dyson swarm. This Dyson swarm can then be used to bootstrap the Caplan engine[1] which slowly disassembles the sun (interestingly, this actually prolongs the sun's lifespan) and uses its matter for a more efficient form of fusion, compared to the wasteful main sequence nuclear process.