Preheat your oven to 350°F (175°C).
In a medium bowl, whisk together the all-purpose flour, cocoa powder, baking soda, baking powder, and kosher salt.
In a large mixing bowl, beat the room-temperature unsalted butter, granulated sugar, and brown sugar together using an electric mixer until light and fluffy, about 2-3 minutes.
Mix in the espresso until well combined. Then, add the eggs one at a time, beating well after each addition. Finally, stir in the pure vanilla extract.
Gradually add the dry ingredient mixture to the wet ingredients, mixing until just combined. Avoid over-mixing.
Using a spatula, gently fold in the espresso baking morsels until evenly distributed throughout the dough.
Use a cookie scoop or tablespoon to drop rounded balls of dough onto a prepared baking sheet, spacing them about 2 inches apart.
Bake the cookies for 10-12 minutes, or until edges are set but centers are still slightly soft.
Allow the cookies to cool on the baking sheet for 5 minutes before transferring them to a cooling rack to cool completely.