Bring the water to a boil. When the water is boiling, pour it into a large mug.
Add the tea bags and steep for 3 to 5 minutes. Remove the tea bags.
Meanwhile, heat the milk in the microwave for about 30 seconds to 1 minute.
When the milk is hot, froth it using a milk frother or by shaking the milk in a jar with a lid until it has doubled in size. If you use a jar to shake the milk, be sure to fasten the lid well and shake for about 30 seconds.
Pour the vanilla syrup into the tea and stir.
Pour the frothed milk into the tea and spoon any remaining milk froth on top.