Vacuum ID?

[Zjones78]

I just purchased my first jeep at the beginning of July it’s a 04 sport with the 3.7 scored it for a few hundred dollars because it sound like the motor was ready to blow. Luckily for me it was not just back firing in the manifold due to clogged cats. I’ve been replacing several parts and chasing a vacuum leak which lead me to needing some help. I pulled the intake manifold off today to check the gaskets and for any cracks and found a hose already disconnected from the previous owner and I have no idea where it goes. Every diagram I find online is for the pcv and I have already replaced it all boots,plugs,coils,crank shaft position sensors, throttle position sensor, the Tee and the check valve for AC runs night and day difference already. I will post pictures of my KJ along with the hose I need help identifying.