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Then I was mistaken, because that's the screw I am talking about. The red plastic piece fits into the hole from the rear. The problem is that the large ring portion of it, that prevents it from pulling through the hole, broke off. The hole is about 5/16".
I had a carb shop tell me he knows what I'm looking for, but all his cores have a large hole with no plastic piece. Not sure when they did away with this piece and went to making the hole smaller and threading it.



You could probably put a keensert in the hole to bring down to the size of that screw.