Yes, we know exactly how to do this: radiators. We do this on all satellites that produce a lot of heat, including the ISS, and Starlink. The only question is if this is financially viable for AI datacenters.

My point is, given the risks, why are we even doing this? It could be financially nonviable, but with enough investment, we could still create a really bad situation.

Duh, it's so obvious. With water from the moon! Or even better, dumping them in Uranus! /s