01 - 
                Stir blackberries, water, and sugar together in a small pot. Heat it on medium-high for about 8-10 minutes, smashing the berries while they soften. Strain the mix through a fine mesh and let it chill.
              
              
              
                02 - 
                Preheat the oven to 325°F. Use parchment paper to line an 8x8 baking pan.
              
              
              
                03 - 
                Melt the butter, then whisk with sugar, eggs, vanilla, and salt. Gently fold in the cocoa and flour until just blended. Even out the mixture in your prepared pan.
              
              
              
                04 - 
                Mix cream cheese, yogurt, sugar, egg, and salt on high until fully smooth (2-3 minutes). Carefully layer this on top of the brownie base.
              
              
              
                05 - 
                Spoon small amounts of the blackberry puree on top of the cheesecake mixture. Use a knife or toothpick to swirl it into a pattern.
              
              
              
                06 - 
                Bake for about 1 hour, or until the top is lightly golden and a knife comes out with few crumbs. Chill in the fridge for at least 2 hours before serving.