Combine flour and cold butter in a mixing bowl, using a pastry cutter or fork until the mixture resembles coarse crumbs with some pea-sized pieces.
2 cups all-purpose flour, 1/2 cup cold unsalted butter
Gradually add ice water, one tablespoon at a time, mixing gently until the dough begins to come together when pressed. Avoid overmixing to keep the crust flaky.
1/4 cup ice water
Form the dough into a ball, wrap in plastic wrap, and chill in the refrigerator for at least 30 minutes to relax the gluten.
Preheat the oven to 375°F (190°C). Roll out chilled dough on a lightly floured surface to about 1/8-inch thickness, then cut into small circles using a cookie cutter or cup.
In a mixing bowl, toss sliced apples with sugar and cinnamon until evenly coated. Spoon a small amount of filling onto each dough circle.
3 small apples, 1/4 cup granulated sugar, 1 tsp ground cinnamon
Fold each dough circle over the filling to form a half-moon shape, then press and crimp the edges to seal. Place the bites on a baking sheet lined with parchment paper.
Brush the tops of each pie bite with beaten egg to give a glossy finish. Bake in the preheated oven for 20 minutes or until golden brown and crispy around the edges.
1 egg egg