Allow it to come to a boil and then take it off heat. Let it cool down.
Strain it to remove the tea leaves and refrigerate.
Pass the mango pulp through a fine mesh sieve to remove any fibers and big chunks.
Squeeze the lime juice into the puree and give it a quick mix.
Add the chilled tea into the mango puree and mix well. Add ice cubes and serve immediately. Garnish with mint leaves.
Notes
Adjust the amount of mango pulp you're using depending on the kind of consistency and intensity of flavor you prefer.
Make sure you brew the tea for no more than 3 minutes, and strain the tea leaves immediately. If you brew a strong tea, the end result will be a bitter-tasting concoction that you won't enjoy.
Make sure you use ripe and sweet tasting mangos for the mango pulp. In fact, if the mango is sweet enough, you won't even need to add additional sugar.