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Pre-heat the air fryer to 350°F. Line a 7-inch cake pan with a circle of parchment paper.
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Combine the almond paste and butter in a food processor, and pulse until combined. Add the sugar and egg and process until the mixture is smooth. Add the flour, baking powder, baking soda, and salt. Process until the dough comes together. Press the mixture into the bottom of the prepared baking pan.
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Transfer the pan to the air fryer basket. You can use an aluminum foil sling to help with this by taking a long piece of aluminum foil, folding in half lengthwise twice until it is roughly 26-inches by 3-inches. Place this under the pan and lower it into the air fryer basket. Air-fry for 10 minutes.
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While crust is cooking, prepare the filling. Whisk the jam until it is smooth and gently fold in the raspberries to coat them with the jam. Once the crust has baked for 10 minutes, spoon the raspberry filling on top of the crust layer.
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Make the crumb topping. Combine the flour, oatmeal, brown sugar and almonds in a bowl and toss to combine. Pour the melted butter on top and blend the ingredients with a fork to form coarse crumbles. Sprinkle the crumb topping over the fruit filling. Cover the pan with aluminum foil and transfer the pan back to the air fryer basket.
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Air-fry at 350ºF for 10 minutes. Remove the foil and air-fry for an additional 10 minutes, until the top is golden brown. Remove the pan from the oven and let it cool completely on a wire rack. Invert the pan to remove the baked raspberry and almond out of the pan and transfer it to a cutting board. Cut into wedges and serve.