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I would have to dig mine out, but I think with heavy leather gloves you could set the center in each time. Not sure how it attaches without looking at mine, but I think with the mold blocks closed around it will stay in place. Of course you can mail it to Lee for a new one but that will take 2 weeks.
I found mine and it appears that the little stub on the bottom is peened over the handle to hold it on. If that material has broke away you may or may not be able to hammer it out again, or thread it as mentioned above. I would probably send it back to Lee for a new one since it is brand new.