Preheat the oven to 350°F and line a 9×9-inch baking pan with parchment paper and set aside.
Combine graham cracker crumbs and sugar in a medium bowl and make a small well. Pour the melted butter in the well and mix until evenly combined.
Transfer the crust mixture to the prepared baking pan and gently press the mixture evenly into the bottom of the pan. Bake for 8 minutes.
While the crust is baking, beat together the cheesecake ingredients in a medium bowl until smooth and creamy and set aside.
Add the strawberries, lemon juice, and vanilla to a medium saucepan and cook over medium-high heat for 5 to 7 minutes until the strawberries are bursting and juice has started to form.
In a separate bowl, combine the brown sugar and cornstarch. Then stir it into the strawberry mixture and cook for an additional 2 minutes, stirring constantly. Once the mixture has thickened and resembles pie filling, remove from heat.
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