Place pumpkin puree, granulated sugar, brown sugar, salt, cinnamon, and nutmeg in a blender and blend until puree looks glossy (1-2 minutes).
Transfer the mixture into saucepan and place over medium heat. Stir frequently and cook no longer than 5 minutes.
In a large bowl beat the eggs, cream cheese, and heavy cream until combined, around 1-2 minutes
Add in a few tablespoons of warm pumpkin mixture to warm the eggs and ensure that they don't cook when you add the rest of the pumpkin mixture and whisk until combined. Slowly whisk the rest of the pumpkin mixture until smooth. Whisk in the vanilla.
Place the partially baked pie crust on a parchment-lined baking sheet. Carefully pour the warm pumpkin mixture into the warm pie crust.
Turn down the oven to 190C (375F). Carefully transfer the baking sheet with the pie to the oven and bake around 50 minutes or until the center is almost set, it should be a little wobbly (a knife tip inserted in the center comes should come out wet but relatively clean,).
Remove from the oven and transfer to a wire rack for 2-3 hours to cool completely. Cover tightly and refrigerate for several hours or overnight.