geostationary then its even harder as the the data center doesn’t move away from the heat.

Geostationary would leave the satellite in shadow anytime it was night time over the part of the earth since a geostationary orbit is stationary in the sky over a given point at the equator.

That doesn't solve any of the cooling problems just saying that you do get some shadow at geostationary orbits.

There are other orbits that get less shadow though.