LT Backyard Burger

Name: LT Backyard Burger
Ingredients: 7 ounces ground prime beef (20 percent fat), at room temperature; Softened butter; Kosher salt and freshly ground black pepper; Potato bun, sliced in half; Iceberg lettuce leaf; Slice beefsteak tomato; Slice dill pickle; 1 tablespoon LT Pickled Mayo, recipe follows; 6 tablespoons mayonnaise; 3 tablespoons ketchup; 2 tablespoons sweet relish, drained and rinsed; 1 tablespoon chopped cornichons; 2 tablespoons chopped pickled jalapeno; 1 tablespoon Cognac; Salt and pepper, to taste