Lemon-Ginger Marble Cookies

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2 1/2 cups all-purpose flour

1/2 teaspoon baking powder

1/2 teaspoon baking soda

1/2 teaspoon salt

2 sticks unsalted butter, at room temperature

1 cup granulated sugar

1/4 cup packed light brown sugar

1 large egg

1 teaspoon pure vanilla extract

1 tablespoon finely grated lemon zest, plus 2 tablespoons fresh lemon juice

1/4 cup molasses

1 teaspoon ground ginger

1 teaspoon ground cinnamon

1/4 teaspoon ground allspice

Sanding sugar, for sprinkling