Bakery-Style Carrot Cake Cookies

medium (1 cup lightly packed) finely grated carrots

unsalted butter, (at room temperature)

light brown sugar, (firmly packed)

white sugar

large egg

and 1/2 teaspoons pure vanilla extract

baking soda

and 1/4 cups all-purpose flour

and 1/2 teaspoons ground cinnamon

ground nutmeg

ground ginger

fine sea salt

unsalted butter, (at room temperature)

full-fat cream cheese, (at room temperature)

vanilla

ground cinnamon

sea salt

powdered sugar