Cabbage Broth with Palm Cabbage and a Fried Egg

• 1 large pointed (sweetheart) cabbage (or substitute a savoy cabbage)
• 2 onions
• ¾ cup <

Cut the pointed cabbage and onions lengthwise into quarters. Roast them on a grill until they have substantial black spots. Put a large pan over medium-high heat containing the dried shiitake, lemon juice, soy sauce, and 4 ¼ cups of water. Bring to a boil and simmer for 30 minutes. Let cool and refrigerate overnight. The next day, strain the contents of the pan through a cheesecloth and drain s