1. Whisk the dry ingredients by combining the flour, cocoa powder, baking powder, baking soda, and salt in a medium bowl until evenly mixed and free of cocoa streaks.

2. Make the chocolate base by whisking the granulated sugar, brown sugar, and melted butter in a large bowl until glossy, then whisk in the eggs one at a time until smooth.

3. Flavor the dough by stirring in the vanilla extract, peppermint extract, and melted semisweet chocolate until the mixture is thick, shiny, and fully combined.

4. Combine wet and dry ingredients by folding the flour mixture into the chocolate mixture in two additions, mixing just until no dry pockets remain.

5. Add the mix-ins by gently stirring in the mini chocolate chips and finely crushed candy canes or peppermint candies until evenly distributed.

6. Chill the dough by covering the bowl and refrigerating for at least 2 hours, or up to overnight, until the dough is firm enough to scoop and roll.

7. Prepare to bake by preheating the oven to 350°F (175°C) and lining two baking sheets with parchment paper or silicone baking mats.

8. Set up the sugar coatings by placing the 1/4 cup granulated sugar in one shallow bowl and the powdered sugar in another shallow bowl.

9. Scoop the dough into 1 to 1 1/2 tablespoon portions, rolling each portion quickly between your palms to form a smooth ball.

10. Roll each dough ball first in the granulated sugar to coat completely, then in the powdered sugar, pressing gently to create a thick, even layer.

11. Arrange the sugar-coated dough balls on the prepared baking sheets, spacing them about 2 inches apart to allow for spreading.

12. Bake one sheet at a time for 9 to 11 minutes, or until the cookies are puffed, cracked, and set around the edges but still soft in the centers.

13. Cool the cookies on the baking sheet for 5 minutes, then transfer them carefully to a wire rack to cool completely.

14. Optionally sprinkle a pinch of extra crushed candy cane on the tops while the cookies are still slightly warm for added color and crunch.