Sweet Potato Cookies

Ingredients

• 2 large sweet potatoes
• 1 egg
• 1 1/2 cups all purpose flour
• 1 1/4 cups sweet potato puree
• 1/4 cup milk
• 1/4 cup butter, melted
• 1 tablespoon vanilla bean extract
• 1/4 teaspoon baking soda
• 1 teaspoon pumpkin pie spice
• 1 teaspoon pumpkin liquid extract
• 1 1/4 cups milk
• 1 cup granulated sugar
• 1/2 teaspoon sea salt
• 1 tablespoon butter
• 16 ounces low-fat cream cheese, cold
• 1 cup powdered sugar
• 1/4 cup unsalted butter, softened
• 1/4 cup dark robust maple syrup
• 1/3 cup whole milk