It's been a while since I've studied thermodynamics, but as far as I understand it that sounds like a violation of the second law of thermodynamics.
Energy is being put into the system but it is less than the AC unit cooling humid air on its own so is a net gain relatively speaking.
Why would it be a problem to do just the middle one instead of all three?
I recommend you look up how heat-pumps work: https://www.nrcan.gc.ca/energy-efficiency/energy-star-canada...