Brew Mint on the Veranda tea (make it a bit stronger than usual), then pour into a 2-quart saucepan. Add sugar and stir until dissolved over medium heat to make a simple syrup. Bring to a boil, then turn off heat.

When ready to serve, combine two cups syrup with six cups of club soda. Squeeze in the juice from half a lime, then stir.

Pour over ice and float a few cucumber slices in the glass or garnish with a slice of lime. Makes a 2-quart pitcher, with some syrup left over.