Brown Butter Skillet Cake with Berry Compote (Kaiserschmarrn)

Name: Brown Butter Skillet Cake with Berry Compote (Kaiserschmarrn)
Cuisine: European, American, German
Ingredients: 1 1⁄2 cups fresh or frozen lingonberries or cranberries; 6 tbsp. sugar; 3 tbsp. white wine; 2 tsp. fresh lemon juice; 3⁄4 tsp. kosher salt; 1 cup milk; 1 cup (4 oz.) "00" pasta flour; 4 large eggs, separated; 1 vanilla bean, split lengthwise and seeds scraped; 2 tbsp. unsalted butter; Confectioners' sugar, for dusting; Toasted, flaked almonds, to garnish; 1 sprig mint, to garnish