Pour the lemonade into ice cube trays. Add 1 mint leaf to each cube. Freeze for at least 2 hours or overnight.
Divide the lemonade ice cubes among 6 tall glasses. Pour the vodka over the ice cubes and top with Sweet Tea. Finish with a straw and a mint sprig.
In a medium pot over high heat, bring 2 cups water to a boil. Take off the heat and add the tea bags. Steep the tea for 5 minutes, then remove the tea bags. Stir in the sugar until dissolved. This will be the concentrated base of your tea.
Add the tea mixture to a pitcher filled with ice. Top off with 4 cups of water. Serve immediately or refrigerate, covered, for up to a week.