Preheat the oven to 190°C.
Cream the cold butter with the sugars (white and brown) in a bowl.
Add the egg and mix well.
Sift in cake flour, all-purpose flour, baking powder, baking soda, and salt, then mix.
Add chocolate chips and walnuts and combine evenly.
Shape the dough into balls and let them rest in the refrigerator for at least 30 minutes.
Place the dough balls onto a baking sheet lined with parchment paper.
Bake in the oven at 190°C for 12–15 minutes.
Remove and cool on a wire rack.