Preheat your oven to 350°F (175°C) and line two baking sheets with parchment paper. In a medium bowl, whisk together the flour, baking soda, baking powder, salt, cinnamon, nutmeg, and cloves. In a large bowl, beat the butter and brown sugar until light and fluffy. Add the egg and vanilla extract, mixing until fully combined. Gradually stir in the cooled apple cider reduction. Add the dry ingredients in three parts, alternating with the milk, starting and ending with the dry ingredients. Mix just until combined to avoid overmixing. Using a cookie scoop or tablespoon, drop 2-tablespoon-sized mounds of batter onto the prepared baking sheets, spacing them about 2 inches apart. Bake for 10 to 12 minutes, or until the cakes are firm to the touch and a toothpick inserted into the center comes out clean. Transfer the baked whoopie pie halves onto a wire rack to cool completely.