Meanwhile, prepare the lemongrass: remove the outer layer, then lightly crush the stalk to release its aroma before cutting it into pieces.
Remove from heat, then add the lemongrass to the hot water along with the ginger and cinnamon. Add the brown sugar and stir until dissolved. Let steep for at least 10 minutes, or longer for an even more intense flavor.
Strain the infusion, then let it cool. Squeeze the limes and pour the juice into a pitcher. Top off with the cooled infusion and adjust to taste.
Serve very chilled, with a generous handful of ice cubes… and why not add a few lime slices for an even more refreshing touch!