Preheat the oven to 400° F. Line parchment paper or silicone baking mats on 2 baking sheets and set aside.
Make the cheesecake filling first: beat ingredients in a bowl until smooth with a hand mixer. Place in the refrigerator to chill before filling each cookie to make it easier to work with or you can also drop by 2 tsp. sized scoops onto a wax paper lined plate or baking sheet and transfer to the freezer to chill while you make the cookie dough.
4 oz. cream cheese, softened, 1/3 cup powdered sugar, 1 tsp. vanilla, pinch of salt
Whisk together the dry ingredients in a large bowl: All-Purpose flour, cake flour, corn starch, baking soda, baking powder and salt. Set aside.
1 1/2 cups flour, 3/4 cup cake flour, 1 tsp. cornstarch, 1/2 tsp. baking soda, 1/2 tsp. baking powder, 1/2 tsp. salt
Using a stand mixer fitted with the paddle attachment, cream together the butter and sugar. Then add in the egg, egg yolk, lemon juice, lemon zest and vanilla extract. 8 Tbsp. unsalted butter, cold, cubed, 3/4 cup white granulated sugar, 1 large egg, 1 large egg yolk, 2 Tbsp. fresh lemon juice, 1 1/2 Tbsp. lemon zest (feel free to add more for more lemon flavor), 1 tsp. vanilla extract (or lemon extract for more lemon flavor)
Gradually add in the dry ingredients. Turn off the machine and gently stir in the blueberries.
1 cup fresh blueberries
Portion the cookie dough into 6 large cookies or 12 smaller cookies. Use lightly floured hands if needed, dough may be sticky.
Flatten each dough ball a little and place ~2 tsp. cream cheese in the center. Form the dough back into a ball around the cream cheese, sealing it in the center. Place on the prepared baking sheet.
Bake ~10-13 minutes, ovens may vary. Let cool for 10-15 minutes on the baking sheet before transferring to a wire rack to cool.
Once cooled, make the glaze by mixing the lemon juice and powdered sugar together. Drizzle glaze over cookies and enjoy!
1 1/4 cup powdered sugar, 3 Tbsp. lemon juice