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1
Place the cleaned honeycomb tripe in a large pot with the halved onion, garlic cloves, white vinegar, and enough cold water to cover by at least 5 cm. Bring to a boil, then reduce to a steady simmer. Cook for a minimum of 90 minutes. The tripe is ready when it yields to a firm press with a finger and carries no ammonia note on the nose.
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2
Lift the tripe from the pot. Reserve 250 ml of the cooking liquid and discard the aromatics. Once the tripe is cool enough to handle, cut it into 3 cm pieces.
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3
Heat the oil in a wide, heavy saucepan over medium heat. Add the ají amarillo paste and fry, stirring constantly, until it darkens by one shade and smells toasted rather than raw — approximately 3 to 4 minutes. Add the turmeric and stir for 30 seconds. The base is ready when the oil around the paste takes on a deep golden-orange colour.
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4
Add the tripe pieces to the pan and stir to coat in the ají amarillo base. Pour in the reserved cooking liquid. Bring to a gentle simmer. This is the step on which the dish lives or dies: the tripe must absorb the base fully over this simmer — too brief and the ají amarillo remains a surface coating; too long before the potato is added and the liquid reduces past correction. Simmer for 10 minutes, stirring occasionally, until the tripe is evenly coloured and the sauce is cohesive.
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5
Add the cubed white potato. Stir once to distribute, then simmer uncovered for 15 minutes. The potato is done when it is just tender at the centre when pierced with a knife tip and the sauce has thickened from the released starch — it should coat a spoon without running off.
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6
Season aggressively with salt. Offal dishes require more salt than intuition suggests; taste and adjust until the ají amarillo registers clearly and the richness of the tripe is not muted.
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7
Remove the pan from the heat entirely. Stir in the butter until melted, then scatter the torn mint leaves over the surface and fold in once. Serve immediately — the mint must not re-enter any heat source. The finished dish carries a clean, cooling aromatic over the richness of the stew; if it smells bitter, the mint was added too early.