Like I cant stress enough how most of our best methods for cooling things down rely on moving some cold fluid over something and then dissipating the heat the fluid absorbs into the environment.
But its space. What fucking environment??
Okay like, for real tho. Also, it just wouldn't be. Issue with space is that the only form of cooling with exists sustainably is radiative (and energy losses from matter jiggling ofc).
Its not "cold" in space ie the medium doesnt contain much matter to transfer heat through. So no cooling.