Preheat your oven to 350°F (175°C) and line two baking sheets with parchment paper.

In a large mixing bowl, combine softened unsalted butter, white granulated sugar, and light brown sugar, and beat for about 3 minutes.

Add in the egg and vanilla extract, mixing on low speed until fully combined.

In a separate bowl, whisk together flour, baking soda, and salt. Gradually add to the wet ingredients, mixing until just combined.

Fold in crushed chocolate sandwich cookies and white chocolate chips gently until evenly distributed.

Refrigerate the dough for at least 30 minutes.

Form balls of dough about 1.5 inches in diameter and place them on the prepared baking sheets.

Bake for 10-12 minutes, watching for light golden edges and slightly soft centers.

Let the cookies cool on the pan for about 5 minutes before transferring them to a wire rack to cool completely.