1 sheet frozen puff pastry (thawed)
1 1/2 cups heavy (whipping) cream
1 vanilla bean (split lengthwise)
1/2 cup (packed) brown sugar
1 cinnamon stick (broken in half)
1/4 teaspoon ground nutmeg
3 large eggs (divided)
1 large egg yolk
8 fresh, ripe figs (sliced 1/8-inch thick)