Creating these delightful Mini Apple Pies is a straightforward process. Just follow these steps:

1. Prepare the Dough: In a mixing bowl, combine flour, salt, and sugar. Cut in chilled butter until the mixture resembles coarse crumbs. Stir in ice water, a tablespoon at a time, until the dough forms a ball. Wrap in plastic wrap and refrigerate for at least 30 minutes.
2. Preheat the Oven: Preheat your oven to 375°F (190°C).
3. Prepare the Filling: Peel, core, and slice the apples into thin pieces. In a large bowl, mix the sliced apples with granulated sugar, cinnamon, nutmeg, lemon juice, and cornstarch. Set aside to let the flavors meld.
4. Roll Out the Dough: On a floured surface, roll out the chilled dough to about 1/8-inch thickness. Use a round cutter or a glass to cut out circles large enough to fit your mini muffin tin.
5. Line the Muffin Tin: Grease your mini muffin tin. Place the dough circles into each muffin cup, pressing gently down to fit the shape.
6. Fill with Apples: Spoon a generous amount of the apple filling into each dough-lined cup, ensuring not to overfill.
7. Top with Dough: Roll out any remaining dough and cut smaller circles or shapes to place on top of the filling, creating a cap for each mini pie. Alternatively, you can use pastry scraps to make a lattice design.
8. Brush with Egg Wash: Brush the tops of each mini pie with the egg wash for a golden finish. Optionally, sprinkle a little sugar on top for added sweetness.
9. Bake: Place the muffin tin in the preheated oven and bake for 30-35 minutes, or until the crust is golden brown and the filling is bubbling.
10. Cool Down: Once baked, allow the mini pies to cool in the muffin tin for about 10-15 minutes before transferring them to a wire rack to cool completely.

These detailed instructions will ensure your Mini Apple Pies turn out delectable and inviting!