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1
Place offal in a pot, cover with cold water, add onion, garlic, and salt. Bring gently to a simmer.
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2
Cook until liver is just tender, approximately 30 minutes. Remove liver; set aside to cool.
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3
Continue cooking heart and lungs until tender. Reserve all broth (~6 cups / 1.5 L). Cool all offal before cutting.
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4
Cut cooled offal into pieces (liver into larger chunks; heart and lungs more finely).
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5
Heat vegetable oil in a wide, heavy pan over medium heat. Add chopped onion and garlic; cook until soft and translucent.
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6
Add pickled jalapeños, olives, capers, raisins, and bay leaves. Stir and cook 3–4 minutes.
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7
Add chopped tomatoes. Cook over medium heat, stirring frequently, until tomatoes break down and oil begins to separate, about 15–20 minutes.
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8
Add the cut offal. Pour in reserved broth in stages, stirring, until sauce reaches desired consistency.
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9
Simmer together 10–15 minutes. Adjust salt. Rest before serving.