No worries.
HVAC control modules have been known to fail on these trucks.
If you can verify the relay is actually receiving the trigger signal to begin with and the relay is passing that current down the line to the clutch, that would be good to know. Clutch may be good and relay might be good too. But if they aren't getting the go-ahead from the control side of things, nothing will happen at the clutch.
This is my logic (right or wrong) test the critical things that can be tested easily and cheaply first...
Is the HVAC control sending the command to activate in the first place?
Is the command (correct voltage) making it all the way through the wiring harness, to the relay, triggering the relay and out the other side, and on to the end of the line (clutch)?