Or maybe, just maybe...

he put it in his mouth as he facepalmed in response to PD's foolishness after Kelsie had announced that they'd do a body search.

Dr. Mummies had stabbed Pointy with a syringe (or just a needle) earlier, unbeknownst to the rest of the group. Maybe he just stealthed it and stabbed him while engaging in some good-natured skinship before dinner, maybe Pointy took a nap (possibly assisted by drugs) during the boat trip to the island and was stabbed then.