Preheat the oven: Preheat your oven to 375°F (190°C) and line a baking sheet with parchment paper or lightly grease it.

Mix the dry ingredients: In a large mixing bowl, whisk together the all-purpose flour, white whole wheat flour, brown sugar, baking powder, cinnamon, nutmeg, allspice, and salt.

Cut in the butter: Add the cold butter pieces to the dry mixture. With a pastry cutter or your fingertips, mix the butter into the flour until you achieve a texture similar to coarse sand.

Prepare the wet ingredients: In a separate bowl, whisk together the milk, egg, and vanilla extract until well combined.

Combine wet and dry ingredients: Pour the wet ingredients into the dry mixture, stirring gently until just combined. Be careful not to overmix.

Shape the fritters: Using a spoon or a cookie scoop, drop small mounds of the dough onto the prepared baking sheet. Gently flatten them with the back of a spoon, as they won’t spread much during baking.

Bake: Bake for 12-15 minutes, or until the fritters are golden brown and firm to the touch. Allow them to cool on a wire rack for a few minutes while you prepare the glaze.

Make the glaze: In a small bowl, whisk together the confectioner's sugar, milk, and vanilla extract until smooth.

Glaze the fritters: Once the fritters have cooled slightly, drizzle the glaze over the tops using a spoon or a piping bag for more precision.