This hinge is design to hold a plate of max 2mm thickness in between the hinge and the profile (see picture the blue marked edges).
My suggestion to make it work insert a metal rod with 2 mm diameter which is a little shorter then the hinge. when it is inserted close the hole (either hold it under your extruder or use the friction method).
not yet printed / tested. but it should be printable when you use supports. Due to the layout the amount of supports shoul be minimized.