AC cooling with LS

[Andy4639]

I have had my LS swap for almost 2 years now and the AC has always done pretty good, well up til today anyway.

Started out just wanting to check the system to make sure it was ready for summer. Was not cooling down good like before so.... I hook my gauges up and pressures look ok.
Start the truck up and turn the ac on and before I could walk around to the front I see mist spray! High side hose on gauges has a pin hole in it! OK,OK gauges are 10-15 years old, Shut the truck off and got the quick connect undone. I may have lost a little bit. So any way I go to my buddies shop and ask to barrow his and the high side goes straight up while my buddy says cut it off.
No fans coming on at all either. Water temp is 178* by scan gauge which is what it runs pretty much at normal driving. Since the new aluminium radaitor installed last summer. The fans normally come on at 190* per the ECU.
My friend ask me why they where not coming on when the AC was on and I told him they come on from the ECU input. Which is only when the motor temp reaches 190, he said they need to be on anytime the ac is on which makes since.
So my question is, the 2 relays that run the fans are triggered by the ECU grounding them...right?
If so I want to hook them up to the clutch switch so it will ground them also whenever the AC is running.
Is this the right way to wire it?
Per this relay drawing?