Reserve 1/2 cup of brownie batter. Then pour/spoon the remaining brownie batter into the prepared pan and smooth into an even layer.
Carefully drop spoonfuls of coffee cheesecake on top of the brownie batter and spread into an even layer so that all the brownie batter is covered. Be careful not to just dump the cheesecake batter in the middle of the pan - otherwise it can be hard to spread into an even layer.
With the reserved 1/2 cup of brownie batter, drop small spoonfuls of batter onto the cheesecake layer. I did 4 rows of 4 spoonfuls - each was a little over a teaspoon in size.
Use a wooden skewer or toothpick to swirl the spoonfuls of brownie batter into the cheesecake layer.
Bake in the preheated oven on a rack about 1/3 from the bottom of the oven for about 30-35 minutes, or until the top looks almost set.
Remove from the oven and cool the brownies in the pan until the pan no longer feels warm to the touch.
Cover the pan and place in the fridge for at least 4 hours before serving.
When ready to slice, lift the brownies out of the pan using the overhang of the aluminum foil. Place on a cutting board and slice with a sharp knife. If you didn't line the pan and simply greased it, slice the brownies in the pan.