Dill Pickle Burgers

Name: Dill Pickle Burgers
Ingredients: 1 20-ounce bag frozen sweet potato tots; 1/2 small white or sweet onion, sliced into very thin rounds, separated into rings; 1/4 cup finely chopped dill pickle slices, plus 1/2 cup and 1 tablespoon brine from the jar, plus more pickles for topping; 1 teaspoon dried dill; 1/3 cup mayonnaise; Kosher salt and freshly ground pepper; 1 1/4 pounds ground beef; 2 tablespoons Worcestershire sauce; 1 tablespoon vegetable oil; 6 ounces dill havarti cheese, thinly sliced; 4 sesame hamburger buns, toasted; Lettuce leaves, for topping