How do I beat the Cog challenge?

You need to interpret a dance to deduce a poker hand. Straightforward enough.

Duncan gives you the possible answers. They're in purple in your inventory. Tap each one for an explanation if you need it.

Now go the stage to watch the dance.

Be sure to count taps. They are helpfully written out for you.

Each dancer represents a card, number of taps represent the number on that card.

Repeat as many times as required.