In a shaker, add 8–10 fresh mint leaves and lemon juice. Gently press with a muddler a few times to release the mint aroma — do not crush into a paste to avoid bitterness.
Pour in the cognac and honey water, then add ice.
Seal and shake vigorously for 10–12 seconds until well chilled.
Fill a rocks glass or highball glass with ice.
Strain out the mint leaves and pour into the glass.
Lightly slap a mint leaf to release its aroma and place it on top of the ice. Finish with the remaining lemon slice.
