I know that Jack later mentioned that Jesse ratted him out to Hank, however I have heard that Jack is a ādarker versionā of Walter White and the fact that he already had the tape and it wasnāt in the hands of the DEA, as well as the fact Hank and Steve are dead, I would imagine that he shouldnāt have cared that Jesse admitted it.
I feel like he got upset for a reason like his pride was hurt, similar to how he reacted towards Walt in āFelinaā when he said that Jack was partners with Jesse. I donāt know, thatās just my assessment.