Adding lime to the ocean to lower co2?

While adding lime to ocean waters would theoretically cut down on co2, how much co2 would be added by mining and trucking the estimated 30 billion tons to the ocean? And what would this dumping do to the oceans?

Would it just be simpler to cut down on co2 emissions than do insane things like dumping billions of tons of a mineral into the oceans with apparent little thought given to unintended consequences.