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1
Place the hen pieces in a large, heavy pot. Add the water, garlic, and half the culantro. Bring to a gentle simmer over medium heat, skimming off any foam that rises in the first 10 minutes. Reduce the heat to low. The surface should tremble, not boil — high heat produces a cloudy, heavy broth. Simmer uncovered for 1 hour. The hen will begin to yield but the meat will still resist.
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2
Add the yuca and ñame. Continue simmering on low heat for 30 minutes. This is where the dish lives or dies: the yuca must become fully tender — a skewer must pass through without resistance and the cut surface should look slightly translucent — because under-cooked yuca carries a fibrous, unpleasant texture that cannot be corrected at table.
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3
Add the corn cob sections and the remaining culantro. Simmer for a further 20–30 minutes, until the kernels yield when pressed and the broth has taken on a deep golden colour and a faintly viscous quality. Season with salt.
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4
Remove a ladleful of broth and let it cool briefly. It should coat the back of the spoon with a light, gelatinous film — the mark of the old hen's collagen. Taste and adjust salt. Serve in deep bowls with broth, hen pieces, roots, and corn together.