Preheat oven to 180°C (356°F).
In a large mixing bowl, combine ground beef, round rice, parsley, mint, diced tomato, pomegranate molasses, olive oil, salt, black pepper, baharat spice, and lemon juice. Mix thoroughly.
Trim the base of each leek, slice lengthwise to the center, and carefully separate into long, flat leaf layers.
Spoon the filling onto one end of each leek segment. Fold into a triangular shape and continue folding along the leek until sealed like a filled pastry.
Arrange the stuffed leek triangles in a single layer in a baking dish.
In a bowl, mix water, date syrup, olive oil, and lemon juice. Pour this sauce evenly over the leeks.
Cover the dish with damp parchment paper and aluminum foil, then bake for 75 minutes.
Remove coverings. If most liquid has evaporated, add 1/2 cup water. Bake uncovered for 15 minutes until leeks are tender and lightly golden.