I managed to obtain another TF2 item while playing some more Poker Night at the Inventory. It’s a pair of white Dangeresque Shades for the Demoman:
So now I’m down to the last item to get in the Poker Night game: The Enthusiast’s Timepiece, a special invis watch for the Spy. But I’m gonna have to wait on doing that until I feel like playing Poker Night again. 🙂