The play at Claudius

Hamlet organizes a group of players to perform his own version of "The Murder of Gonzago." When Hamlet first meets the players, he acts excited and full of life, which is different then how we have seen him previously. He tries to relate to the players by reciting a speech. Hamlet is using this play to confirm his mental accusation on Claudius of Hammy Senior's murder. Hamlet will have the players reenact a scene similar to that Ham Senior described to Ham Junior. From Hamlet's perspective, this idea is actually quite smart. It is smart because he discovered a seemingly flawless way to confirm his notion. But, as the audience, it seems pretty obvious that Claudius is indeed a murderer. I wonder what this says about our flustered Hamlet's judgement.