Reduce oven temperature to 300°F/149°C
In a heavy saucepan, over medium-high heat, stir the pumpkin, sugar, cinnamon, ginger, nutmeg, cloves, and Kosher sea salt together. Cook stirring frequently allowing the mixture to bubble gently. Until thicked caramelized in color and shiny, about 5 minutes.
Pour the mixture into a mixing bowl, scraping the sides of the pan. Beat on medium speed for 2 minutes, ensuring mixture is well combined. Add the cubed room temp cream cheese and all-purpose flour. Beat on medium until combined and smooth, with no cream cheese lumps visible.
Add the cold cream and mix well, then add the eggs one at a time. Combining well after each addition. Scrape down the sides of the bowl as needed to make sure everything is well combined. Be sure to overbeat!
Pour the cheesecake batter evenly into the crust. Place the springform pan inside another larger pan. Fill the outside pan with very hot water about halfway up the sides of the springform pan. Making sure the water does not go over the top of the aluminum foil.
Bake for 1 hour 15 minutes. The center should be set, but still jiggly about 3-4” from the center. Turn off the oven and leave the door closed for 30 minutes. The cheesecake will continue to cook, but also slowly cools down.
Crack the oven door for 30 minutes to allow the cheesecake to continue to cool gradually. This process helps prevent cracking.
Remove the cheesecake from the oven, and remove the aluminum foil. Set on a rack to finish cooling completely. Cover with plastic wrap and refrigerate until chilled, at least 4 hours or overnight.