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1
Heat the oven to 350u00b0F and arrange the racks to divide the oven into thirds. Line 2 baking sheets with parchment paper; set aside.
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2
Whisk the flour, oats, baking powder, cinnamon, ginger, salt, and nutmeg in a medium bowl to aerate and break up any lumps; set aside.
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3
Place the butter and sugars in the bowl of a stand mixer fitted with a paddle attachment and beat on medium speed until lightened in color and fluffy, about 5 minutes. Stop the mixer and scrape down the paddle and the sides of the bowl with a rubber spatula.
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4
Add the egg and vanilla, return the mixer to medium speed, and beat until incorporated, about 30 seconds. Stop the mixer and scrape down the paddle and the sides of the bowl.
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5
With the mixer on low speed, add half of the reserved flour mixture and mix until just incorporated. Add half of the pumpkin and mix until just incorporated. Repeat with the remaining flour mixture and pumpkin.
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6
Drop 8 dough rounds per baking sheet by the scant 1/4 cup, staggering them 2 inches apart on the prepared sheets. Place the remaining dough in the refrigerator.
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7
Place both sheets in the oven and bake for 12 minutes. Rotate the pans from top to bottom and front to back and continue baking until the cookies are golden brown on the bottom and around the edges, about 12 minutes more.
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8
Place the baking sheets on wire racks and let the cookies cool on the sheets for 3 minutes. Using a flat spatula, transfer the cookies to the wire racks to cool completely. Let the baking sheets cool to room temperature and then repeat with the remaining dough (you can use the same parchment paper). When all of the cookies are baked, set the pieces of parchment paper aside.
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9
Place all of the ingredients in a medium bowl and whisk until evenly combined. (You may need to add more milk by the 1/2 teaspoon if the glaze is too thick to drizzle.).
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10
Place all of the cooled cookies on the reserved parchment sheets. Dip a fork into the glaze and drizzle it over the cookies in a zigzag pattern. Let the cookies sit at room temperature until the glaze has set, about 20 minutes.
