Q: A/C compressor wont engage, weird electrical issue??

Hello, My A/C compressor coil will not engage. The compressor itself works if I unplug the coil and run jumper wires 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 a/c system so I'm 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 chevy blazer's a/c compressor coil (which for sure works) to see if the jeep electrical system will power the coil and the voltage shuts off thesame

My car has 173000 miles.
My car has an automatic transmission.