Hi, before flow will come out the Aux port the 3pt lift lever has to be in the proper position.
I am attaching the page from my B414 Operator's Manual(your 444 in a grandson of the B414). Unfortunately this site does not allow pdf documents so I had to snip it into multiple jpgs.
I agree with BarnYardE that someone made a mess.
Hopefully after you read the Remote Cylinder Operating instructions it will help sort out your problem.
Basically the 3pt lift lever will have to remain locked in the UP position to have continuous flow out of the Aux port.