In a bowl, beat the cream cheese, powdered sugar, and strawberry extract until smooth. Chill while making the cookie dough.
In another bowl, whisk together the flour, baking powder, and baking soda.
In a large mixing bowl, cream the butter, granulated sugar, and brown sugar until fluffy.
Mix in the vanilla extract, strawberry extract, egg, and egg white until combined.
Toss the chopped strawberries with 1 tablespoon of flour, then gently fold them into the dough.
Scoop out portions of dough, flatten slightly, and place a small dollop of the cream cheese filling in the center.
Wrap the dough around the filling, sealing the edges completely.
Chill the stuffed cookie dough for at least 30 minutes.
Preheat oven to 350°F and line a baking sheet with parchment paper.
Bake for 12-14 minutes until the cookies are set and lightly golden around the edges.
Let cool on the baking sheet for a few minutes before transferring to a wire rack.