Preheat your oven to 350 °F.
In a large bowl, whisk together the cocoa, flour, and salt until combined. Set aside.
In a separate bowl, cream together the butter, sugar, and brown sugar until light and creamy.
Add in the vanilla, vegetable oil, eggs, egg white, and coffee and mix just until combined.
Set aside for later.
In a large bowl with a hand mixer, cream together the cream cheese and sugar on low speed until well combined.
Add in the egg, egg yolk, pumpkin, flour, pumpkin pie spice, and vanilla extract. Mix on low speed until combined and mixture is smooth.
Grease an 8-9 in square baking dish and line it with parchment paper so that the parchment just hangs over the sides of the dish. *See note.
Take about 1/2-3/4 of the brownie batter and pour it into the bottom of the dish. Spread evenly.
Pour the cheesecake directly on top of the brownie mixture.
Drop large spoonfuls of the remaining brownie batter on top of the cheesecake layer.
Take a butter knife and drag it through the brownie/cheesecake batters in an up and down, then side to side motion to create a marbled pattern.
Bake for approximately 30-35 minutes. *See note.