Prep the pan: Lightly grease a 9-inch springform pan. Line the bottom with parchment for easy removal. If you don’t have a springform, use a deep 9-inch pie dish.
Make the crust: In a bowl, combine graham cracker crumbs, 3 tablespoons sugar, and melted butter.
Stir until evenly moistened and the mixture looks like wet sand.
Press and chill: Press the crumb mixture firmly into the bottom and 1–1.5 inches up the sides of the pan. Use the bottom of a measuring cup to compact it. Chill for at least 20 minutes while you make the filling.
Whip the cream: In a cold bowl, beat heavy cream with powdered sugar to medium-stiff peaks.
Set aside. This will lighten the filling and help it set.
Beat the cream cheese: In a separate large bowl, beat softened cream cheese until completely smooth and fluffy, about 2 minutes. Scrape the bowl well so there are no lumps.
Add the sweeteners and flavor: Mix in the granulated sugar, sweetened condensed milk, vanilla, and a pinch of salt.
Beat until silky and fully combined.
Add lime: Stir in the lime zest and lime juice. The mixture will thicken slightly as the citrus interacts with the dairy.
Fold in whipped cream: Gently fold the whipped cream into the lime filling in two additions. Keep it airy to maintain a light texture.
Fill the crust: Pour the filling into the chilled crust.
Smooth the top with an offset spatula. Tap the pan gently to release any air bubbles.
Chill to set: Cover and refrigerate for at least 6 hours, preferably overnight. The longer chill ensures clean slices and the best texture.
Garnish and serve: Run a knife around the edge before releasing the springform.
Top with lime zest, thin lime slices, or dollops of whipped cream. Slice with a warm, dry knife for neat pieces.