It will never clean the amount of carbon it took to create the materials used to build it.
The oceans are where you want to go after carbon dioxide. These guys have a 15 to 35 euro process that piggy backs on an OTEC plant it’s resource super cheap too. A long wide plastic pipe with no high pressure requirements. The water that comes out is loaded with nutrients and starts a local upwelling food web so you get seafood too. Using an open cycle otec also gives large amounts of freshwater from the ocean, you get 50 degree air conditioning as a waste product what’s not to love.
Seawater has 150+ times the CO2 of air and you can never run out it just sucks more from the air constantly and for free.
CO2 plus freshwater plus electrons gives you all kinds of useful chemicals, food or fuels. Think of it as sunshine in solid or liquid form that you can eat , burn it feed to some yummy cows or chickens or pigs.
https://pubmed.ncbi.nlm.nih.gov/34278262/