Preheat the oven to 325 degrees F. Grease a 9-by-5-inch loaf pan with butter.
Add the brown sugar, granulated sugar and butter to the bowl of a stand mixer fitted with a paddle attachment and stir on medium speed until creamed and fully combined. Add the eggs, one at a time, until completely combined. Add the vanilla extract and sour cream and stir until combined.
Combine the cake flour, baking powder, baking soda and salt in a large bowl with a whisk. Slowly add the dry mixture to the wet mixture in the stand mixer until just combined. Pour this mixture into the prepared loaf pan. Bake until golden brown and cooked through, about 1 hour. Remove from the oven and allow to cool to room temperature.
For the mixed berry compote: Meanwhile, add the blackberries, blueberries, raspberries, granulated sugar, butter and vanilla extract to a medium saucepan and turn the heat on to medium-high. Cook until thickened and syrupy, 15 to 20 minutes. Remove from the heat and keep warm or let cool to room temperature until ready to serve.
Remove the pound cake from the loaf pan. Cut slices just under 1 inch thick and shingle the slices on a large platter. Top with the compote and whipped cream and dust with powdered sugar. Garnish with the mint and serve.
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