In a bowl, mix cream cheese, powdered sugar, and vanilla until smooth. Scoop small portions and freeze until firm.
In another bowl, beat butter, granulated sugar, and brown sugar until light and fluffy.
Add egg and vanilla extract, mixing until fully combined.
Stir in flour, baking soda, and salt until a soft dough forms.
Gently fold in crushed freeze-dried strawberries.
Scoop cookie dough and flatten slightly. Place a frozen cheesecake portion in the center.
Wrap the dough around the filling, sealing completely.
Arrange cookies on a lined baking sheet with space between them.
Bake in a preheated oven at 175°C (350°F) until edges are set and lightly golden.
Cool on the baking sheet briefly, then transfer to a wire rack to cool completely.