Think of it like water flowing down a hill. The heat is in your room because it flowed down to a cooler space with less energy, just like the water flowed down to a space with less potential energy. Moving that heat back to a higher energy area, back outside, is the same as pumping the water back up a hill. It always takes more than one unit of energy to move one unit of energy back “up”. You can only capture energy if it’s moving “down”.

You might enjoy a physics course, especially if you enjoy calculus, although an entry level course won’t require it.