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Preheat oven to 350°F. Line an 8-inch-square pan with foil, leaving an overhang on all sides. Lightly coat the foil with cooking spray.
To prepare cake: Whisk 1 cup flour, cornmeal, baking powder and salt in a medium bowl. Beat softened butter and oil in a large bowl with an electric mixer on high speed for 2 minutes. Scrape down the sides. Add 3/4 cup sugar and beat on medium-high until smooth, about 2 minutes. Add eggs, milk, lemon zest and vanilla and beat on medium-high until smooth, about 1 minute. Scrape down the sides. Add the flour mixture and beat on low speed just until incorporated.
Place berries and apple in a small bowl, sprinkle with the remaining 1 1/2 teaspoons flour and toss very gently to coat. Sprinkle the fruit over the batter and very gently fold in until just combined. Scrape the batter into the prepared pan, smoothing the top.
To prepare topping: Combine cold butter and 1/4 cup sugar in a bowl. With two knives or a pastry blender, cut them together until the butter is in small pieces and uniform crumbles form. Add pecans and toss until evenly incorporated. Sprinkle the topping over the batter.
Bake the cake until a tester inserted in the center comes out clean and the nuts are a deep brown, 50 to 55 minutes.
Let the cake cool in the pan on a wire rack for about 2 hours. Lift it out of the pan, using the edges of the foil, onto a cutting board, and cut into 16 squares. Use a spatula to lift the cake from the foil.