Chai Sugar Cookies with Eggnog Glaze

Ingredients

• 1 large egg
• 1/4 teaspoon salt
• 1/2 cup vegetable oil
• 1/2 teaspoon baking soda
• 1/4 heaping teaspoon cinnamon
• 2 teaspoons vanilla extract
• 1/2 cup (100g) granulated sugar
• 1 1/2 cup (180g) powdered sugar (sifted)
• 2 cups (280g) all-purpose flour
• 1/2 cup (4oz) unsalted butter ( room temperature)
• 1/2 cup (60g) powdered sugar
• 1 chai tea packet cut open*
• 1/4 heaping teaspoon nutmeg
• 3  tablespoons eggnog (or milk)