https://www.frontiersin.org/articles/10.3389/fenrg.2017.0001...
Using the exact technique that crustaceans use during biomineralisation will be very, very expensive at scale due to the enzymes needed. Current techniques involve using high-pH hydroxide solutions to perform the reactions. Carbon sequestration by pumping concentrated carbon dioxide gas underground would naturally use the high-pH geological environment to run this reaction over time.
There are still unanswered questions about pumping CO2 gas underground with regards to leakage - nevermind the fact that when it's pumped into old oil wells, it has the side effect of forcing out more oil which is recovered, sold and burned.
Converting CO2 to a solid, stable form like CaCO3 then storing the solids is a nice sequestration option, but like a lot of things in this space, the economics are holding it back more than the technology is.