Time for some GMO corals baby
FWIW, my preferred approach is ocean-powered olivine weathering, as in Project Vesta. But we'll need multiple approaches.
I also think the decision to accept some long-term risks to alleviate the (frankly terrifying) short/medium-term dangers we face is very different to the decision to exploit natural resources in service of the industrial revolution.
In any case hermatypic corals are often two species in one. Modifying one of them could not be enough