Combine 10 star anise pods, 3 tablespoons sugar, and 1 cup water in a small saucepan. Scrape in seeds from 1 vanilla bean; add bean. Bring to a boil, reduce heat, and simmer 10 minutes. Transfer to a large pitcher. Add 15 black tea bags and 7 cups cold water. Cover; chill at least 4 hours. Strain into another large pitcher. Stir in ½ cup heavy cream and ½ cup sweetened condensed milk until dissolved. Serve over ice.
