Instructions: 1. Preparing the Pie Crust: In a small bowl, whisk together the egg yolk and ice water. Gradually add the egg mixture to the flour mixture, mixing with a fork until the dough comes together. Add more ice water if needed, one tablespoon at a time.
2. Preparing the Cake Batter: Gradually add the dry ingredients to the wet ingredients, alternating with the milk, and mixing until just combined. Be careful not to overmix.
3. Assembling the Butter Pie Cake: Carefully transfer the rolled-out pie crust to the bottom of the prepared cake pan, pressing it gently into the bottom and sides of the pan.
Step 4: Baking Bake the Butter Pie Cake in the preheated oven for 45-50 minutes, or until a toothpick inserted into the center comes out clean and the top is golden brown.
Step 5: Cooling and Serving Slice and serve the Butter Pie Cake warm or at room temperature. Optionally, you can dust the top with powdered sugar or serve it with whipped cream or ice cream.
Tips: Ensure your butter is cold for the pie crust and softened for the cake batter to achieve the desired texture.