Oil separator heater bypass on a 2009 S8 5.2 V10

I have the intake manifold spacers and the oil separator heater bypass from JHM. I’m a little confused since the illustrations that I saw from JHM has the coolant bottle on the passenger side (mine’s on the driver’s side) and the brass fitting is a “T” mine is a regular tube sans the “T”.
Does the fitting connect the lines going into the manifold and out to the separator?
There should be no coolant line going into the manifold, correct?