Jsenft - Just checked my plans page 32-10 and the only spacer or shim I see used on that page is a .063 and not .125 as you inquired about.
I'm guessing it is the shim in bag 2798-2 listed as U-1210B spacer ... looks like the correct dimensions judging by the drawing.
For what it is worth, the piano hinge material is also .063 you could just use a strip of that to obtain the .063 inch spacing called for in the drawing.
Happy building,