This is a simple one. The answer to your question is have plenty of paper towels on hand already wetted out with rubbing alcohol (The cheap stuff is fine) and clean it up after inserting the stab then double check the alignment.

Hypo needles and blowup adhesives are very much overkill. Stick with the 30 min.

John

Oh by the way do not forget to insert the stab into position then make a scratch mark with the back side of #11 blade or a pin then remove the stab and cut away the covering film just inside the mark. It is imperitive that you assure this wood to wood glue joint.