Place the Kashmir tea leaves, cardamom seeds, star anise, and cinnamon stick into a large saucepan. Add 3 pints 15 fluid ounces of the water and bring to a boil, reserving 2 tablespoons of water. Boil for 25 to 30 minutes, or until the volume of liquid has reduced by a third.
Remove the mixture from the heat and add the reserved 2 tablespoons cold water. Add the milk and the sugar, and bring to a boil. Reduce the heat, and simmer for another 4 to 5 minutes. Add the rose syrup, and stir well to combine. Strain the mixture through a fine sieve, reserving the liquid. Serve immediately.
*Can be found at specialty Asian markets.