Adjust an oven rack to the middle position and heat the oven to 375F. Line 2 large baking sheets with parchment.
Whisk the flour, baking soda, spices, pepper, and salt in a medium bowl until thoroughly combined. Set aside.
With an electric mixer or by hand, beat the butter with the brown sugar, the granulated sugar, and 1 teaspoon orange zest at medium-high speed until light and fluffy, about 3 minutes.
Reduce the speed to medium-low and add the egg and vanilla. Increase the speed to medium and beat until well incorporated, about 20 seconds.
Reduce the speed to medium-low and add the molasses. Beat until fully incorporated, about 20 seconds, scraping the bottom of the bowl with a rubber spatula.
Reduce the speed to the lowest setting, add the flour mixture, and beat until just incorporated, about 30 seconds, scraping the bottom of the bowl. Give the dough a final stir by hand to ensure that no pockets of flour remain at the bottom. The dough will be soft. Refrigerate the dough for at least a half hour.
For the orange sugar, combine the 4 teaspoons orange zest with the 1 1/3 cups granulated sugar in a food processor. Blitz until well combined. Place in a wide, shallow bowl.
Scoop a heaping tablespoon of cookie dough and roll it between your palms into a 1 1/4 – 1 1/2-inch ball. Roll the ball in the orange sugar to until it is coated and set on the prepared baking sheet.
Arrange 9 cookie balls per baking sheet. Very lightly press down on the balls of cookie dough to make the top a little bit flat. Sprinkle a little extra orange sugar on top of each cookie ball so they look pretty.
Bake the sheets one at a time for about 11-14 minutes until the cookies are browned and still puffy, with the edges set and the centers still soft. Repeat this process with other baking trays.
Cool the cookies on the baking tray for 5 minutes, then use a wide metal spatula to transfer to a wire rack. Cool the cookies to room temp.