Preheat your oven to 400°F. Line two baking sheets with parchment paper.

Using a stand mixer, beat cold butter, brown sugar, and granulated sugar until creamy.

Add the egg and egg yolk, mixing until combined.

Mix in vanilla extract.

In a separate bowl, whisk together flour, cake flour, salt, baking powder, and baking soda.

Gradually add dry ingredients to wet, mixing on low until just incorporated.

Stir in chocolate chips and peanut butter chips.

Shape dough into 8 large balls (~6 oz each) and place on prepared baking sheets.

Bake for 12 minutes or until edges are golden brown.

Cool on baking sheet for 10 minutes before transferring to wire rack.

Serve warm or at room temperature.