Lightly grease a 7-inch springform pan with baking spray. Cut a piece of parchment paper to fit the bottom of the pan, greasing the parchment paper lightly as well.
Pour 1 1/2 cups of water into the insert of the Instant Pot.
Add cookies and brown sugar to the bowl of a food processor. Pulse until fine crumbs. Add melted butter, pulsing until combined and all crumbs are wet.
Press crust mixture into the bottom of the pan. Press the crust mixture in firmly on the bottom and coming up slightly on the sides.
Place crust in freezer until ready to fill.
Add cream cheese and sugar to the clean bowl of a food processor or high-speed blender. Process until mixture is smooth and creamy. Pour in eggnog, cornstarch, vanilla bean paste (or extract), brandy, cinnamon, and nutmeg. Pulse until combined.
Add eggs and pulse again until combined.
Add filling to the crust. Cover the pan with paper towel and cover tightly with aluminum foil on top of that. Seal the edges well around the pan.
Place pan on the Instant Pot trivet, and carefully place in the insert of the Instant Pot. Make sure the pan is even and not tilted.
Seal the lid and make sure the release knob is set to Sealing position.
Choose Manual pressure on High and cook for 42 minutes.
Naturally release pressure for 15 minutes, then manually release the rest.
Remove lid and lift the trivet out of the insert with the cheesecake pan still on it. Place pan on wire cooling rack.
After 10 minutes remove foil and paper towel. The center of the cheesecake should be set but not wet and liquid.
Chill in the refrigerator for at least 4 hours before serving, or overnight.
When ready to serve, remove sides of the pan and place cheesecake on a serving dish.
Evenly sprinkle superfine sugar over the top of the cheesecake. Use a kitchen torch to caramelize the sugar, slowly moving the torch back and forth to get even golden color. This will take some time to accomplish so be patient with it.
The sugar is caramelized when the sugar bubbles and smokes. Let set for a minute to allow the sugar to harden before serving.
notes
Don't have superfine sugar? Add 3 Tbsp of granulated sugar to a high-speed blender and blend until fine.