Heres what I do;
I go find 2 coarse wood screws about an inch long or shorter. Number 6s. I measure the screw root and drill two tiny holes in the seal at 180* apart and a little smaller than the root. I guess you can figure out the rest!
I thought those boxes had a long-fiber grease in them? Hmmmm.
Nope; the FSM lists SAE 90;MIL-L-2105B. "Special Sure-Grip Lubricant PN 2585318, is a fluid of this type".
I couldn't remember the internals of that box so I checked the FSM. No you probably want to stick to oil.There are bushings, bearings and other parts in there that might not last long-term with grease. And the grease might make the box harder to operate as well.
I guess you're stuck hunting for the leak.