Beat butter and 1 cup sugar in a large bowl with an electric mixer until creamy. Add egg and molasses. Mix well.
Whisk flour, baking soda, cinnamon, salt, cloves, cardamom and ginger in another large bowl until well blended. Stir in crystallized ginger.
Blend the flour mixture into the butter mixture a cup at a time, mixing well, until it is all incorporated. Chill the dough in the refrigerator until firm, 1 hour.
Preheat oven to 375°F. Lightly coat 2 baking sheets with cooking spray.
Place the remaining 1/3 cup sugar in a shallow dish. Roll the dough into 1-inch balls and then roll in the sugar. Place 1 1/2 inches apart on the prepared baking sheet.
Bake the cookies, in batches, until they crackle on top, 8 to 10 minutes. Transfer to a wire rack to cool.
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