[URSpider94]

I think you’re misunderstanding the terminology. In a heat engine, efficiency is the ratio of how much heat you can move per unit of energy you put in. An air conditioner can usually move substantially more than 1 joule of heat energy from one place to the other for each joule of energy put into the compressor.

Yes, the hot side will spit out all of the heat extracted from inside, plus the energy from the compressor operation, so indeed energy is conserved.