In large bowl, beat together butter with brown sugar and white sugar until well combined, about 1 minute.
Add in egg and vanilla and beat until combined.
Add flour, cake flour, salt, and baking soda, and beat until combined.
Fold in mini chocolate chips.
Refrigerate for 1 hour.
After 1 hour, preheat oven to 350 degrees F.
Scoop ~ ½ teaspoon cookie dough balls onto baking sheet lined with parchment paper.
Lightly press down, flattening each cookie slightly.
Bake in preheated oven 5-6 minutes, until golden brown on the edges.
Let cool on baking sheet for 5 minutes then transfer to cooling rack.
Enjoy by the handful!