Preheat and prepare the pan: Set your oven to 350°F and coat a 9-inch round springform pan with nonstick cooking spray.
Process the nuts: Use a food processor to finely grind the almonds, pistachios, and salt until you get a consistent mixture.
Prepare the egg yolk mixture: In a large mixing bowl, beat the egg yolks with 1 cup of raw cane sugar using a hand or stand mixer. Beat until the mixture becomes light and fluffy, about 2 minutes. Add the lemon zest, orange zest, vanilla extract, and almond extract, then stir to combine.
Whip the egg whites: In a separate clean bowl, beat the egg whites with the remaining 1/4 cup of sugar. Continue beating on high speed until stiff peaks form, meaning the egg whites hold their shape when the whisk is lifted.
Combine the mixtures: Gently fold the whipped egg whites into the egg yolk mixture in three parts, alternating with the ground nut mixture. Start and end with the egg whites, folding carefully to keep the batter light and airy.
Bake the cake: Pour the batter evenly into the prepared pan. Bake for 40–45 minutes, or until a toothpick inserted into the center comes out clean and the surface of the cake is golden brown. Let the cake cool completely in the pan before removing the sides.