If you haven't already made the pumpkin cake, the recipe is linked above this recipe card. Follow the instructions on how to make it, cut out one third, and enjoy eating the other two thirds of the cake.
Place the bowl of your ice cream maker in the freezer.
In a large glass container, add the brown sugar, sugar, and cream cheese. Heat in the microwave for 30 seconds then whisk to combine. Microwave it for 25 seconds and whisk again. Microwave it one last time for 20 seconds and whisk. Hopefully the sugar granules at least partially dissolved into a sort of caramel-like substance. Add the spices, salt, vanilla, maple extract, and pumpkin and whisk until well combined. Pour in the milk and cream and whisk well until fully combined. Place the lid on the container and refrigerate until the bowl of your ice cream maker has reach the required hours of freezing time.
Grab the third of cake, place it in a bowl, and crumble it up using spoons or clean/gloved hands. Because of the frosting it might end up looking more like a paste but that's totally fine. Place the cake crumbs/paste in a container and place in the freezer (it's not a typo, I did say freezer).
The next day, follow the instructions for your ice cream maker and churn the ice cream. While it's churning, remove the cake crumbs from the freezer and crumble the cake "paste" into actual crumbs (make them chunky for added texture).
Grab a container to store the ice cream in. When the ice cream is done churning, add half of it to the container, sprinkle roughly half of the cake crumbs on top, spread the rest of the ice cream on top of the crumbs, and sprinkle the top with the remaining cake crumbs (or less if it looks like too much). Working quickly, grab a knife or spatula and swirl/mix the crumbs into the ice cream. Close the lid on top and freeze for at least an hour. After patiently waiting, scoop, serve, and enjoy! The ice cream tends to get harder the longer it sits in the freezer, so I recommend eating it the day it's made or within a couple days. If you made it ahead of time or are eating it up slowly, let it thaw slightly for about 10 minutes before scooping.
