Melt cookie butter. Preheat oven to 375°F (190°C) and line a rimmed baking sheet with parchment paper. Place 1¼ cup of cookie butter in a small microwave safe bowl, then heat on high for 30-60 seconds, until melted and smooth.
Cream butter and sugar. In the bowl of a stand mixer, cream together 1⅔ cups granulated sugar, melted cookie butter, ¼ cup olive oil, and 1 tsp vanilla bean paste until smooth, about 3 minutes on medium speed. With the mixer running, add two eggs, one at a time, mixing until well incorporated, scraping down the sides as needed.
Mix dry ingredients. In a large mixing bowl, whisk together 2 cups flour, 1 cup bread flour, 1½ tsp baking powder, 1 tsp baking soda, and 1 tsp Kosher salt. Add flour to sugar mixture, then gently fold until only a few streaks of flour remain. Fold in 3 cups chopped chocolate.
Form into cookies. Roll dough into 2-inch round balls, then place on prepared baking sheet leaving at least 2-inches between cookies. (I bake 9 cookies on a standard baking sheet at one time.) Place in freezer for 10-15 minutes.
Bake the cookies. Bake for 11-12 minutes, or until edges have set and center of cookies have risen, but are still quite soft. Immediately sprinkle each cookie with a few flakes of malden sea salt, then let cool for 5 minutes on baking sheet. Carefully transfer to a wire rack to cool further. Repeat with remaining cookie dough.
Drizzle with melted cookie butter. When finished, heat remaining ¼ cup of cookie butter in microwave until melted and smooth, about 30-60 seconds. Drizzle on cooled cookies, then enjoy immediately or at room temperature!