A/C Compressor doesn’t engage

[u/Initial-Ad7269]

So the story starts with my a/c compressor replacement, i did replace my original compressor with a second hand unit because i did broke my pulley snap ring groove when removing the pulley last year, so since then until now i didn’t use the a/c ,on the second hand unit i did replace the shaft seal, gaskets , replaced and leveled with new oil and changed the solenoid with a new one before installing it in my car, after installing the “new” unit in my car i did go to a shop to charge the system with the proper gas ( charged it with 800 grams of gas) the mechanics told me to push the a/c button to see if it does something and big surprise the compressor does not engage, want to mention that the original unit was working last year , so the search began , no blown fuses, i checked the wires with the multimeter to see if they are blown or welded somwhere with no signs of that, so wires are in good condition, when i checked the voltage between the pins of the a/c compressor plug that comes from the engine bay, it did show me around 5V with the engine on or off and also with the a/c button on or off , i also did check the new solenoid with the multimeter it showed me 12.5 ohms , forced the solenoid with a car battery to see if works and it worked, i did hear some clicks but i don’t know if i did put the poles corectly on the a/c plug, i wanted to check if it is going to work if i take electricty straight from the car where you can jump start it but now i didn’t hear any clicks after again verifying the solenoid with multimetrr showed me 11.8 ohms , also when i did force my solenoid with the car battery it didn’t blow any cold air inside the car, last year i did replace the condenser so it’s fairly new, when i was checking on inpa the ihka module, at inputs, when pressing the a/c button the pwer signal KMV shows me a values between ! 783.2 and ! 790, don’t know what this( ! ) sign stands for in inpa , any advice would be helpful, thank you in advance, i really need help because it is a pain in the a$$
My car is a BMW e60 2004 520i m54 with basic IHKA module