Air conditioner, coil, electrical issue

Hello, My air conditioner compressor coil will not engage. The compressor itself works if I unplug the coil and run jumper wires from it straight to the battery then the coil engages and I get nice cold air. The coil resistance is 4.0 ohms and draws 2.3 amps when jumped to the battery which appears to be in spec from other internet sources. So I believe the compressor and coil are good. Here is where it gets tricky. The wiring harness plug that goes to the coil has 13.4 volts only if its unplugged from the compressor coil plug? Soon as I plug it into the coil the voltage drops to zero? On wiring diagrams it shows the compressor coil is on the ground side of all the electrical components of the entire air conditioner system so I am getting power up to that plug until I plug it in to the compressor. I did a test of running jumper wires from the wiring harness plug over to a Chevrolet Blazer's air conditioner compressor coil (which for sure works) to see if the jeep electrical system will power the coil and the voltage shuts off the same. So something is shutting off the power once it knows it is plugged into the coil I just do not get it? When I have 13.4 volts at the wiring harness side coil plug and unplug either the high or low pressure switch the power shuts off which would suggest both pressure switches work.