The problem is that with ACs/power plants, the net temperature will rise if you do this because it's a closed system.
Power plants and ACs are not 100% efficient; the power plant converts chemical/nuclear/mechanical energy into electrical energy, releasing heat from work lost.
Your AC will convert electrical energy to cool the air around you, but because it is not 100% efficient, the total temperature of the system will rise.
There needs to be a way to get rid of that lost energy and remove it from the system. If you put that into the ground, it's still in the system. Ofc, even when they try to 'beam the heat to space', much of it will end up staying in the system (earth) as it reflects on clouds / water vapor, etc.
I forget the exact number, but the clear night sky is equivalent to a very cold black body radiator, around -30C or so (can't recall the actual value and it probably depends on local temperature too). Radiative equilibrium with it will push your temperature way down.
This is the main reason why it suddenly gets so cold at night. From a radiative perspective, you might as well be facing a ceiling of Arctic ice above you.
I'm an amateur astronomer. When I do observations at night, I always add an extra layer of clothing. It's amazing just how really cold it gets when all you do is sit under the clear night sky.
When it's cloudy it's different. The chill effect due to the (lack of) radiation is much less intense.
Power plants and ACs are not 100% efficient; the power plant converts chemical/nuclear/mechanical energy into electrical energy, releasing heat from work lost.
Your AC will convert electrical energy to cool the air around you, but because it is not 100% efficient, the total temperature of the system will rise.
There needs to be a way to get rid of that lost energy and remove it from the system. If you put that into the ground, it's still in the system. Ofc, even when they try to 'beam the heat to space', much of it will end up staying in the system (earth) as it reflects on clouds / water vapor, etc.