Prepare the butterfly pea tea: Bring 2 cups of water to a boil in a saucepan. Remove from heat, add the dried butterfly pea flowers, and let steep for 5-10 minutes until the water turns a deep blue color. The longer you steep, the more intense the blue will become.
Strain the tea into a heatproof container and allow it to cool completely. Discard the used flowers.
Make simple syrup by combining 1/2 cup sugar with 1/2 cup water in a small saucepan. Heat over medium heat, stirring until the sugar completely dissolves. Remove from heat and let cool.
In a large pitcher, combine the cooled butterfly pea tea, remaining 1 1/2 cups of water, and simple syrup. Stir well to blend the flavors.
Fill serving glasses with ice and pour the blue tea mixture about halfway up each glass.
At the table, pour the lemon juice into each glass in front of your guests to showcase the color change from blue to purple. The more lemon juice added, the more vibrant the purple will become.
Garnish with lemon slices and fresh mint if desired, and serve immediately.