Ultimate Grilled Cheeseburger

Name: Ultimate Grilled Cheeseburger
Ingredients: 10 oz. boneless rib eye; 10 oz. boneless short ribs; 6 oz. hanger or skirt steak; 1 1⁄2 tsp. kosher salt, plus more to taste; 2 egg yolks; 1⁄4 cup canola oil; 1 small leek, finely chopped; 1 small shallot, finely chopped; 1⁄2 cup heavy cream; 1⁄2 cup dry vermouth; 1⁄4 cup finely chopped spicy cucumber pickles, plus 3 tsp. pickle juice from jar; 2 tsp. Dijon mustard; 8 slices cheese such as white or yellow American; 4 hamburger buns, lightly toasted; Lettuce, sliced tomatoes, and pickled jalapeños, for serving