Yeah I wonder the same thing - I keep getting told heat management in space is hard, but nobody discusses this inre the data centers. My understanding is one cooling mechanism is to just shoot lasers out into space (is this sci fi?) - I guess in that case you could just send energy back to your solar rigs, depending on wavelengths. TLDR: no idea

The whole thing is pie in the sky same as landing people on Mars. It's cool but if you look into deeper it doesn't make much sense and it's extremely challenging and on top of it all expensive as hell.