Cream Cheese Mixture: In a large mixing bowl, use an electric mixer to beat the cream cheese on medium-high speed until smooth. Gradually add the granulated sugar and continue to beat until fully incorporated and smooth.
Incorporating Remaining Ingredients: Gradually add the heavy cream, eggs, egg yolk, vanilla bean paste, and sea salt to the cream cheese mixture, beating well after each addition until the mixture is smooth. Take care to scrape down the sides of the bowl as necessary.
Baking the Cheesecake: Pour the filling over the cooled crust in the prepared pan. Bake at the reduced temperature until the cheesecake is set but still slightly jiggly in the center, about 35 minutes. It is crucial not to overbake.
Cooling and Chilling: Allow the cheesecake to cool completely on a rack in the pan. Once cooled, cover and refrigerate until firm, which will take at least 4 hours.