Supercool Vieux Carré

Chill a cocktail coupe glass to prepare it for serving.

In a mixing glass, combine the genever, dark rum, and sweet vermouth.

Add the Bénédictine, followed by dashes of both Peychaud's and Angostura bitters.

Fill the mixing glass with ice and stir the mixture until well-chilled and properly diluted.

Strain the cocktail into the chilled cocktail coupe.

Garnish the drink with a julienne of lemon peel, resting it elegantly on an ice ball within the glass.