Masala Chai with Green Tea

Name: Masala Chai with Green Tea
Ingredients: 1/3 cup water; 2 tablespoons CTC (crush, tear, curl) loose-leaf black tea (such as Wagh Bakri CTC Leaf Tea); 1 tablespoon granulated sugar, plus more to taste; 2 1/2 teaspoon loose-leaf green tea (such as Numi Gunpowder Green ); 1 teaspoon freshly ground cardamom (such as Diaspora Co. Baraka Cardamom); 4 whole cloves; 2 whole star anise (such as Burlap & Barrel True Star Anise); 1 (1/2-inch) piece unpeeled fresh ginger, smashed; 2 cups whole milk