Preheat the oven to 375°F. Lightly butter the bottom and sides of a 9 x 13-inch casserole or ceramic baking dish.
Prepare the oat crumble topping by combining the flour, oats, sugar, cinnamon, and salt in a large bowl. Whisk until evenly mixed and there are no lumps.
Add the cold cubed butter. Using your fingertips, rub the butter into the dry ingredients until the mixture forms large, coarse crumbs.
Place the mixed berries directly into the prepared baking dish. Add the cornstarch, lemon juice, and a pinch of salt, then gently toss until the berries are evenly coated.
Spread the crumble mixture evenly over the berry filling, covering the fruit from edge to edge.
Bake for 40 to 45 minutes, or until the topping is golden brown and crisp and the berry filling is bubbling around the edges.
Let the Triple Berry Crumble rest for several minutes before serving. Enjoy warm with vanilla ice cream or cold whipped cream.