Apple Galette with Salted Caramel

INGREDIENTS

• 1 egg yolk
• 1/2 tsp. pure vanilla extract
• 2 1/2 cups all-purpose flour
• 3 Tbs. granulated sugar
• 1/4 tsp. salt
• 12 Tbs. (1 1/2 sticks) cold unsalted butter, cut into cubes
• 2 Tbs. cream cheese
• 4 to 6 Tbs. ice water
• 3 apples, preferably Crispin or Pink Lady, peeled, halved, cored and cut into 1/4-inch slices
• 1 lemon
• 1 1/3 cups granulated sugar
• 1/2 tsp. ground cinnamon
• Pinch of salt
• All-purpose flour as needed
• 1 egg whisked with 1 Tbs. water
• 2 Tbs. turbinado sugar
• 2 Tbs. unsalted butter
• 3 Tbs. water
• 1/2 cup heavy cream
• 3 Tbs. dark rum
• 1/2 tsp. fleur de sel or coarse sea salt