Preheat the oven to 350F/ 180C. Grease a 10-cup bundt pan with cooking spray and then sprinkle about 2 tablespoons of flour into the pan, coating all the sides evenly and shaking out the excess. (For less ornate pans, you can usually skip the flour part.)
In a small bowl, combine the chai tea leaves with the hot water and set aside.
In a large bowl, combine both sugars, the cinnamon, salt and cloves. Then whisk in (or use the paddle attachment of a stand mixer,) the eggs and oil until completely combined.
Gradually fold in the flour and baking soda just until combined (do not overmix). Then fold in the diced apples.
Spoon the batter into the prepped pan, and smooth over the top. Bake until a tester inserted in the cake comes out clean and the top springs back when lightly touched, about 55 to 60 minutes. Cool in the pan on a wire rack 15 minutes, then invert onto the rack to cool completely.
While the cake is cooling, make the eggnog glaze: Whisk together the confectioners' sugar, eggnog, vanilla, salt and nutmeg until smooth. If the glaze is too thin, add 1 tablespoon of powdered sugar at a time until desired thickness is reached. If glaze is too thick, add 1 teaspoon of eggnog until glaze is the consistency you want.
Using a spoon, drizzle glaze on top of the cake. Allow the glaze 20 minutes to set before serving. Enjoy!