In a small saucepan, whisk together pumpkin puree, sugar, spices, vanilla, and water. Simmer on low heat for 5–7 minutes until smooth and combined. Let cool, then store in a jar in the fridge for up to a week
Add the espresso, warm water, and pumpkin syrup to a shaker or jar with ice. Shake vigorously for 20–30 seconds until frothy.
Strain into a tall glass over ice. Top with half & half (or your favorite milk), and dust with pumpkin pie spice.