I can't see all the wire colors but this is what the service manual shows:
light blue and dark blue are the coil switched on and off by the ECM
dark green and black are the contacts in series with the compressor clutch
The contacts for the A/C power relay in the front compartment are also in series with the A/C compressor relay and clutch. If the A/C compressor relay is bypassed by connecting the dark green and black wires the A/C will still work. But you lose the functionality of the ECM being able to shut off the A/C compressor at wide open throttle. This obviously robs some WOT power. I don't know whether or not it would shorten the life of the compressor. Relays aren't that expensive. I would restore the wiring to OEM.
------------------
formerly known as sanderson
1984 Quad 4
1886 SE 2.8L
1988 4.9L Cadillac
1988 3800 Supercharged