Pour the Baileys Irish Cream into your chilled martini glass and set it aside.
Fill a cocktail shaker with the cooled espresso, vodka, coffee liqueur, simple syrup, and plenty of ice.
Shake vigorously for 20–30 seconds until the shaker is well chilled and the cocktail is nice and frothy.
Strain the espresso mixture directly into the martini glass over the Baileys.
Garnish with three espresso beans, if desired, and serve immediately.