Comforting Chicken Noodle Soup

Ingredients (17)

• + 10 cups water add to pantry
• + 1 leek, halved lengthwise add to pantry
• + 1 carrot, halved add to pantry
• + 1 (3 inch) piece fresh ginger, peeled add to pantry
• + 1 teaspoon whole black peppercorns add to pantry
• + 2 bone-in chicken breast halves, skin removed add to pantry
• + 2 ⅓ cups all-purpose flour add to pantry
• + ⅛ teaspoon salt add to pantry
• ✓ 2 eggs, beaten
• + 1 tablespoon butter add to pantry
• + ⅓ cup milk, or as needed add to pantry
• + 2 chicken bouillon cubes, crumbled add to pantry
• + 3 tablespoons finely chopped fresh ginger add to pantry
• + ¾ cup peeled and sliced carrots add to pantry
• + 1 cup sliced celery add to pantry
• + ¼ cup cornstarch add to pantry
• ✓ ¼ cup cold water