Thick as a brick
It has been estimated that 2,400 gigatons of CO₂ have been emitted by human activity since 1850, with some absorbed by oceans and land, and about 950 gigatons remaining in the atmosphere. Around 2020 the emission rate was over 40 gigatons per year.
https://en.wikipedia.org/wiki/Carbon_dioxide_in_Earth%27s_atmosphere#:~:text=It%20has%20been%20estimated%20that,over%2040%20gigatons%20per%20year.
The mass units of C in CO2 is 12/44 = 0.273, (the fraction of CO2 which is carbon).
Just one year's contribution of Carbon masses (4x10^10 tons) x 0.273 =
1.092 x 10^10 tons of carbon.
Carbon density is 2.267 g/cm^3 (depending on the allotrope, diamond is heavier than graphite.) So a one liter brick of graphene will mass 2.267 kilos. Just one year's production of graphene bricks, just enough to keep up with one year's greenhouse gas emission, will be
a stack of bricks weighing about 10 gigatons. Even if making them cost you no energy whatsoever, just moving them to a cave or pit mine to dispose of them would require an enormous amount of energy.
I may be short of innovation, but at least I passed high school chemistry.