Ba'S Best Deep-Dish Apple Pie

Ingredients

• 3 1/2 cups all-purpose flour
• 2 tablespoons granulated sugar
• 1 1/2 teaspoons kosher salt
• 1 1/2 cups (3 sticks) chilled unsalted butter, cut into pieces
• 2 tablespoons apple cider vinegar
• 4 pounds Pink Lady apples, peeled, cored, thinly sliced
• 1/3 cup (packed) dark brown sugar
• 1/4 cup granulated sugar
• 2 tablespoons fresh lemon juice
• 2 teaspoons ground cinnamon
• 1/2 teaspoon kosher salt
• 1/4 teaspoon ground allspice
• 1/4 teaspoon ground cardamom
• All-purpose flour (for surface)
• 1 1/2 cups unfiltered apple cider
• 1 vanilla bean, split lengthwise
• 2 tablespoons cornstarch
• 1 large egg
• 2 tablespoons chilled unsalted butter, cut into pieces
• Demerara sugar (for sprinkling)
• A 9-inch deep pie dish