Preheat oven to 400ºF (if you have convection, turn it on). Line two baking sheets with parchment paper and set aside.
In the bowl of a stand mixer with paddle attachment, add cubed butter, brown sugar, and granulated sugar.
1 cup unsalted butter , 1 cup dark brown sugar , ½ cup granulated sugar
Turn mixer on low for a few seconds, then gradually increase speed to medium-high so the butter and sugar doesn't fly out of the bowl, mixing for about 3-4 minutes until well incorporated and fluffy. You'll know it's done when the mixture starts sticking to the sides of the bowl. Stop the mixer and scrape down the sides and bottom of the bowl, mixing more if needed until the butter and sugars evenly incorporated. Turn mixer to low and add egg and egg yolk then vanilla. Mix on medium for about 60 seconds until well incorporated, stopping to scrape down the sides and bottom with a rubber spatula, as needed.
1 large egg , 1 large egg yolk, 1 ½ tablespoons vanilla extract
With mixer off, add in both flours, baking powder, baking soda, and salt. Turn mixer on low and stir until just combined. Do not over mix.
1 ½ cups all-purpose flour, 1 cup cake flour, 1 teaspoon baking powder, 1 teaspoon baking soda, 1 teaspoon salt
Add in chopped white chocolate and chopped dried strawberries. Stir on low just until incorporated. Turn mixer off and knead the dough bit with clean hands to ensure mix-ins are evenly incorporated, if needed.
1 cup chopped dried strawberries, 2 cups chopped white chocolate baking bar or white chocolate chunks
Portion dough into 2 ounce size balls using a large cookie scoop. Place cookie dough about 2 inches apart on prepared baking sheets. I typically place 8 cookies per tray.
Bake in preheated oven for 4-5 minutes if using convection (7-8 minutes in conventional oven) then remove from the oven and quickly press the extra dried strawberry pieces and white chocolate pieces into the tops of the cookies. Rotate baking trays and bake for another 4-5 minutes for convection (7-8 minutes for conventional) until the edges are browned and the tops no longer look shiny.Optional: use a large round cookie cutter or the rim of a small bowl to scoot the edges of the hot cookies in, creating thick edges and perfectly round cookies. Allow to cool for 15-20 minutes on the hot trays then transfer to wire racks to cool completely.