1: In a bowl, mix Greek yogurt, olive oil, lime juice, minced garlic, chopped mint, and chopped dill to create the sauce.
2: In another bowl, combine lamb, bread crumbs, egg white, white pepper, salt, and pepper to form the patty mixture.
3: Shape the patty mixture into burger patties.
4: Cook the patties on a grill or stovetop until fully cooked.
5: Toast the brioche buns lightly on the grill.
6: Assemble the burger by placing the patty on the bottom bun, adding sauce, cucumber, tomato, greens, and then the top bun.