STEP 1: To make the simple syrup, combine water, sugar, and vanilla extract in a pot and bring to a boil. Continue boiling until the sugar has dissolved.
STEP 2: In a mug, add 25ml of the prepared syrup and the espresso.
STEP 3: Blend the puréed pumpkin with milk, ensuring the mixture is smooth. Heat this mixture using a steam wand or milk frother.
STEP 4: Pour the heated, textured milk into the mug with espresso and syrup. Sprinkle with cinnamon or nutmeg and garnish with a cinnamon stick. Optionally, singe the ends of the cinnamon stick with a blow torch for a smoky effect.