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1
Slit chiles open and remove seeds and veins. Heat a flat griddle or dry heavy skillet (not nonstick) over medium heat until hot, then toast the chiles, opened flat, 2 at a time, by pressing down and turning on either side with tongs, until fragrant and insides change color, about 1 minute.
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2
Put chiles in a bowl with cold water to cover and let soak until soft, about 20 minutes.
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3
While chiles are soaking, cook onion in oil in a 5- to 6-quart heavy pot over medium heat, stirring occasionally, until golden, 15 to 20 minutes.
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4
Transfer chiles with tongs to a blender (discard soaking water) and add garlic, cider vinegar, cumin, oregano, 1/2 teaspoon salt, sugar, cloves, and 1 cup water. Blend until smooth, about 1 minute.
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5
Add chile puree to pot and cook, stirring, 5 minutes.
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6
Add remaining 5 cups water, hominy, beans, zucchini, corn, and 1/2 teaspoon each salt and pepper and bring to a boil. Reduce heat and simmer, partially covered, stirring occasionally, until zucchini is tender, about 20 minutes. Season to taste with salt and pepper.
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7
To serve the stew, surround it with small bowls of the accompaniments and let the guests garnish their servings as they wish.