Avgolemono Chicken Soup with Rice

Bahan-bahan (4 porsi)

• 1 pound chicken tenderloins ((or chicken breasts, cut into 1-inch strips))
• 1¼ teaspoons salt
• 8 cups chicken broth
• ¾ cup long grain white rice
• ¼ teaspoon white pepper
• 3 sprigs fresh dill, (plus 2 teaspoons chopped (see note))
• 1 bay leaf
• 5 tablespoons fresh lemon juice, (from 2 lemons)
• 2 large eggs plus 2 large yolks
• ½ cup heavy cream, (plus a bit more if necessary (optional; see note))
• Freshly ground black pepper, (for serving)