Step 1: Prepare the Brownie Base

1. Preheat your oven to 350°F (175°C). This ensures even baking.
2. In a mixing bowl, combine the brownie mix, melted butter, and egg. Stir until the mixture is smooth and well-blended.
3. Pour the brownie batter into a greased 9-inch springform pan, spreading it evenly to create a uniform base.
4. Bake the brownie base for 20-25 minutes, or until set. To check for doneness, insert a toothpick into the center; it should come out with a few moist crumbs. Remove from the oven and let it cool completely.

Step 2: Make the Cheesecake Layer

1. In another bowl, beat the softened cream cheese, sugar, and vanilla extract together using an electric mixer on medium speed until the mixture is creamy and smooth, with no lumps remaining.
2. Once the brownie base has cooled, spread the cream cheese mixture evenly over the cooled brownie layer, using a spatula to create a smooth top.

Step 3: Add the Caramel Topping

1. Drizzle the caramel sauce generously over the cheesecake layer. The warmth from the cheesecake will help the caramel spread beautifully.
2. If desired, sprinkle chocolate chips on top for an extra burst of chocolate flavor, adding both visual appeal and taste.

Step 4: Chill and Serve

1. Chill the cheesecake in the refrigerator for at least 2 hours to allow it to set properly. This step is crucial for achieving clean slices.
2. Before serving, sprinkle a small amount of sea salt over the top. This contrast of flavors will enhance the sweetness and add a gourmet touch.