Add first ten ingredients to a mixing bowl and blend with an electric mixer. Refrigerate until ready to use. When ready to serve, warm the mugs by filling with hot water. Let stand for a minute or two and discard. Add 1 tablespoon of batter to each mug. Top with 2 ounces hot tea and stir to mix. Add 1 ounce of each rum and then top with 2 ounces more hot tea. Rum will form a ¼-inch cream over the top of the drink. Garnish with a whole star anise.