Make the Pumpkin Spice Syrup

1. Combine Ingredients: In a small saucepan, mix the water, sugar, pumpkin purée, and pumpkin pie spice.
2. Heat and Stir: Bring to a simmer over medium heat, stirring until the sugar dissolves.
3. Add Vanilla: Stir in the vanilla extract and remove from heat.
4. Cool and Strain: Let the syrup cool, then strain through a fine-mesh sieve to remove any solids.

Prepare the Cocktail

1. Add Ingredients to Shaker: In a cocktail shaker, combine, coffee liqueur, espresso, and pumpkin spice syrup. Fill with ice.
2. Shake Vigorously: Shake for about 20 seconds, until the mixture is well-chilled and frothy.
3. Strain into Glass: Strain into a chilled martini glass.

Garnish

1. Dust with Pumpkin Spice: Lightly dust the top with pumpkin spice or ground cinnamon.
2. Add Coffee Beans or Whipped Cream (Optional): For a decorative touch, place a few coffee beans on top or add a dollop of whipped cream.