All energy generated on earth contributes to global warming, even solar panels which decrease Earth's albedo. If you care about climate change and the earth you should want the datacenters to be in space.

The earth is limited in the amount of thermal energy it can radiate.

Ah yes, burn thousands of tonnes of methane (assuming Spacex) to launch a data centre satellite into an orbit, then burn thousands more to maintain it and update compute or burn the entire thing in the upper atmosphere, to avoid contributing to global warming by not burning all of that fuel and dry mass.

Uh, that's not how global warming works, you know.