Preheat oven to 350°F. Line a 9x13 baking dish with parchment paper, leaving a 2-inch overhang on the long sides. This is your lifeline for getting the block out cleanly.
Make the Crust: In a food processor, pulse the flour, sugar, and salt until combined. Add the cold butter cubes and pulse until it looks like coarse meal with pea-sized bits of butter still visible. Add the egg yolk and pulse until the dough just starts to hold together when you squeeze it. Press the mixture evenly into the bottom of the pan. Use the bottom of a flat measuring cup to get it perfectly uniform.
Bake the Crust: Bake for 18-22 minutes, until lightly golden at the edges and it smells nutty and buttery. Let it cool completely in the pan on a wire rack. A warm crust will melt the ice cream later.
Macerate the Berries: In a bowl, toss the diced strawberries with the sugar and lemon juice. Let them sit for 10 minutes, stirring once. You'll see the juices pooling at the bottom of the bowl. That's exactly what we want.
Cook the Strawberry Layer: Pour the berries and all their juices into a saucepan over medium heat. Bring to a gentle simmer, stirring occasionally. Once it's simmering, stir in the cornstarch slurry and cook for 1-2 minutes, stirring constantly. The juices will thicken to a syrupy consistency that coats the back of a spoon. Remove from heat and let it cool to room temperature.
Layer the Strawberries: Spread the cooled strawberry mixture evenly over the cooled crust. Make sure it reaches the edges so every bar gets some berry.
Soften and Spread the Ice Cream: Let the ice cream sit at room temperature for 15-20 minutes to soften. Transfer it to a large bowl and stir it with a rubber spatula until it's a uniform, spreadable consistency. Scoop it over the strawberry layer and spread gently and evenly. Don't press too hard or you'll disturb the berry layer.
Top with Whipped Cream: In a stand mixer or with a hand mixer, beat the heavy cream, powdered sugar, and vanilla until soft peaks form. Dollop it over the ice cream layer and spread it carefully to the edges. Smooth the top with an offset spatula.
Freeze Firm: Cover the pan tightly with plastic wrap and freeze for at least 6 hours, or overnight. Overnight is better — the layers need time to set up together.
Slice and Serve: Lift the block out of the pan using the parchment overhang. Place it on a cutting board. Dip a sharp serrated knife in hot water, wipe it dry, and slice cleanly through the layers. Wipe the knife between each cut for the prettiest slices. Let the bar sit on the counter for 5 minutes if slicing straight from the deep freeze.