Sift the flour. Then whisk the flour, baking soda, cream of tartar, and salt together.
Crack open the eggs and separate the yolks from the whites. Use the whites in another recipe. (See note #2.)
Remove the browned butter from the freezer and pour it into a large bowl. Mix 1 cup of white sugar and the brown sugar with the butter until combined.
Add the pumpkin puree, egg yolks, and vanilla and mix until thoroughly combined.
Mix the dry ingredients into the wet ingredients until a soft dough forms.
In a shallow bowl, stir 3 tablespoons of sugar with the ground cinnamon, cloves, nutmeg, and ginger.
Scoop up 1 tablespoon of the pumpkin snickerdoodle dough with a small cookie scoop. Roll each ball of dough in the spiced coating. Place the coated balls of dough on the lined baking sheet about 2 inches apart. Bake in the preheated oven for 10 to 12 minutes or until the cookie is a light golden brown. The edges will be done and the centers will look soft but solid.
Remove the cookies from the oven and cool on the pan for about 5 minutes. Then transfer the cookies from the pan to a cooling rack to finish cooling.
Eat right away, or wait until the pumpkin snickerdoodles cool. The cookies' chewy texture is most pronounced at room temperature.