Preheat Oven: Preheat the oven to 400℉.
Cook Pumpkin, Sugar, and Spices: In a small saucepan, combine canned pumpkin, pumpkin pie spice, and brown sugar. Cook over medium-low for several minutes, until the sugar melts into the pumpkin and the the spices become fragrant.
Process the Pumpkin Mixture: Transfer the mixture to a food processor fitted with the blade attachment. Process for about 30 seconds to break down the fibers and cool it slightly.
Add Cream: Add heavy cream and process until smooth, scraping down the sides as needed.
Add Eggs: Add the eggs and process until well combined.
Add the Filling: Place the unbaked crust on a baking sheet. Carefully pour the pumpkin filling into the crust. It should reach the top edge of the crust.
Bake: Place the pie on the baking sheet in the preheated 400℉ oven. Bake for 20 minutes, then reduce the heat to 350℉ and bake for an additional 15-20 minutes, until the edges of the pie are set and the center is slightly jiggly.
Cool Slowly: Turn off the oven and let the pie cool gradually inside. After about 20-30 minutes, prop open the oven door open with a wooden spoon and let cool for another 30 minutes. Transfer to the counter to finish cooling, then refrigerate.
Enjoy: Top with whipped cream and serve!