There are two types of tools made to remove Berdan primers and your Lee tool ain't one of 'em.
One uses a plunger and water to force the primer out under pressure. The other is a hook-like device which penetrates the primer and lifts it out. I have no idea who manufactures them or if they are still being made.
You may be able to drill a small hole in the spent primer, thread in a flat-pointed screw and lift or screw it out. Or, you may try to duplicate one of the above methods. they are very low tech. I, personally, wouldn't waste my time unless you crave a challenge.
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