I would first measure if you are getting voltage to the clutch.
If you are getting voltage to the clutch and it's not engaging, it's a clutch problem. If you are getting voltage and it IS engaging, but not getting cold, hmm... If you are not getting voltage when you should, it is another possible set of problems, such as a bad pressure switch or relay.
If you are getting voltage to the clutch and it's not engaging, it's a clutch problem. If you are getting voltage and it IS engaging, but not getting cold, hmm... If you are not getting voltage when you should, it is another possible set of problems, such as a bad pressure switch or relay.