Preheat oven to 400 Degrees
Cut cold butter into tablespoon pieces
Mix butter on low, until softened
Mix butter with both sugars and pudding mix on LOW speed until well combined
Crack eggs and add to dough, mix until well combined
Add flours, baking soda, baking powder, and salt.
Pulse the mixer, or mix on LOW to combine all the ingredients. Do NOT overmix!
Fold in chopped oreos and Ghiradelli peppermint quares
Form cookie dough into balls (2-3 oz for smaller cookies, 5 oz for large) and stack cookie dough high. Do not roll into balls.
Place cookie dough on sheet with parchment paper or silicone baking mats.
Bake for 8ish minutes (cookies will be done when the tops are a light brown)
Let cookies cool on the warm cookie sheet for at least 30 minutes (the cookies will finish baking on the sheet, so do NOT remove them!)