Classic Doner Kebab Wrap

Name: Classic Doner Kebab Wrap
Ingredients: 500 g lamb shoulder or beef, thinly sliced; 2 tablespoons plain yogurt; 2 tablespoons olive oil; 1 teaspoon ground cumin; 1 teaspoon ground coriander; 1 teaspoon smoked paprika; ½ teaspoon ground cinnamon; ½ teaspoon ground black pepper; 1 teaspoon salt; 2 garlic cloves, minced; 1 medium onion, finely grated; 4 large flatbreads or pita breads; 1 cup shredded iceberg lettuce; 1 medium tomato, thinly sliced; 1 small cucumber, thinly sliced; ½ red onion, thinly sliced; Fresh parsley leaves, for garnish; ½ cup plain yogurt; 1 small garlic clove, minced; 1 tablespoon lemon juice; Salt and pepper to taste; Olive oil, for cooking