Virgin Espresso Martini

Name: Virgin Espresso Martini
Prep time: 5 min
Cook time: 10 min
Total time: 15 min
Cuisine: American
Ingredients: 1 whole vanilla bean (or 1 teaspoon vanilla extract); 2 sticks cinnamon; 1 cup water; 1 cup sugar; 1½ ounce zero-proof coffee liqueur (such as Lyre's); 2 ounces espresso (or strong coffee, freshly brewed); ½ ounce cinnamon dolce syrup (or plain simple syrup); 3 whole coffee beans (for garnish)