So it would seem, but we could also air condition the world and beam the energy into deep space instead.
You could presumably radiate it to space by moving the heat to something that can "see" a clear sky, but you can have this happen naturally on a far huger scale by reducing GHG content in the atmosphere and increasing the radiative efficiency of the entire planet surface, as well as various passive systems like cool roofs, albedo manipulation and special materials that radiate specific wavelengths.
When you cool a building or a data center or whatever, you can pump that heat into a high temperature fluid and send it to a sky-radiator instead of sending it to an air-exchange radiator. So heat produced in processes could be moved to radiator assemblies and “beamed” into space (I probably should have said radiated).
Why not capture and make use of it?
Isn't that the whole point of heat pumps? Grab energy from one locale, move it another to do useful work?
The Earth radiates away almost exactly as much energy as it receives. It has to. Otherwise it would boil. Our biosphere, however, extracts a lot of available energy from that system. That results in the Sun shining low-entropy energy on the Earth, and the Earth radiating high-entropy radiation away.
Put another way, a universe that is homogenous at 10 million degrees has plenty of energy. But it has zero useful energy because you have no entropy gradient.