In a medium bowl, whisk together the all-purpose flour, baking soda, and salt. Set aside.

In a large mixing bowl, beat the softened butter, granulated sugar, and light brown sugar until light and fluffy. Add the pudding mix and incorporate.

Add the eggs one at a time, beating well after each addition. Stir in the vanilla extract.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Fold in the white chocolate chips and chopped chocolate sandwich cookies until evenly distributed.

Cover the dough and refrigerate for at least 30 minutes.

Preheat the oven to 350°F. Line baking sheets with parchment paper.

Drop rounded tablespoons of dough onto the prepared baking sheets, spacing them about 2 inches apart.

Bake for 10 to 12 minutes, or until the edges are lightly golden brown.

Allow the cookies to cool on the baking sheets for 5 minutes before transferring them to wire racks to cool completely.