The radiators on the ISS are able to dump somewhere between 300 and 700 watts of heat per m^2. That's a square meter of surface for a single GPU, and a single CPU.
Any sufficiently large data center worth operating for "AI" would probably be visible to the naked eye from the ground because of all the surface area that would be required with current methods of heat dissipation in vacuum.
The whole idea is stupid, and it's just a justification for Elmo to continue building rockets - he's trying to create markets for several of his companies based on this foolish, stupid idea that will never work better than just building it on the ground where service, scaling, expansion, and cooling are cheap.