So I put on my sunsinger with claws of ahamkara and the perk that gives me an extra grenade. When I load into the plaguelands I only have 2 gernades and mele, when the artafact is supposed to give me 3. It does take my super away.
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Historically, nothing has let you stack effects to get either a third punch or a third grenade. I imagine now is no different. Max of 2.