In a medium bowl, add all purpose flour, cake flour, baking soda, baking powder, and salt. Whisk to combine.
In the bowl of a stand mixer or a large bowl, combine butter, white sugar, brown sugar, and lemon zest. Cream together with a whisk attachment or hand mixer until smooth.
Gradually add the flour mix into the butter. Beat to combine. If any large butter chunks remain, break them apart by hand. Add the lemon chips and gently stir to incorporate. The mixture should be a little dry and crumbly at this stage. Add in eggs and beat until fully combined and smooth, forming a cohesive dough.
Portion dough evenly into 8 large scoops*, weighing about 6oz each. Cover and freeze the dough at least 90 minutes, up to overnight.
Preheat oven to 375°. Line baking tray(s) with parchment paper. Place frozen dough balls 2-3 inches apart on the baking tray. Immediately place in the oven. Bake for 25-28 minutes, or until the surface begins to brown. Remove from oven and let cool on a wire rack at least ten minutes.
