Are you sure it's not leaking air in from the connections? To reduce the fitting put a nail the diameter you want and just pinch it down with pliers, solder the seam or not.
Easy would be to solder a small bit of copper to the tip with a hole the size you want (Or drill/file following the solder.)
Maybe a short piece of 3/8 tubing could be soldered inside the last reducer, like yet another reducer.
More difficult: Can you mount the back end of the thief in a drill press/mill/lathe? If so, and you are really handy and know how to work such machines, you could spin it and press the tip in from the sides.