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1
In a large skillet, add the olive oil, onions, garlic, and celery. Add the chicken broth, Vermouth, bay leaf, coriander, salt, and pepper. Bring to a boil. Reduce the heat to low and cover. Let simmer, turning once, until the celery is tender, about 30 minutes.
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2
Using a large slotted spoon, remove from heat and transfer the celery to a serving platter. Spoon a little cooking liquid over, and sprinkle with dill, celery leaves, and toasted walnuts. Leave the remaining braising liquid in the skillet
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3
To make the tomato sauce: Place tomatoes in a blender or food processor and blend until smooth. Pour into the skillet with the remaining celery braising liquid, add some more salt and pepper or a pinch of red pepper flakes and cook on medium-high heat until reduced and thickened to sauce consistency.
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4
To serve: Spread two tablespoons of the tomato sauce on the bottom of the serving plate, place the fish or meat steak on top and then spoon the braised celery on top.
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5
Put the garlic cloves in the bowl of a food processor and pulse until the garlic is finely chopped. Add the egg yolks and pulse to blend. When the potato is completely cooked and still hot, split it open lengthwise (this step will slightly cook the egg yolks and you won't have to worry about raw eggs).
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6
Using a tablespoon, scoop out the flesh, about 3 to 4 tablespoons, add it to the processor. Add the braised celery to the processor. Pulse to combine. With the processor running, slowly add the 1/2 cup of olive oil, through the opening at the top, in a steady stream. Add sugar and lime juice and pulse to combine.
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7
Season, to taste, with salt and pepper. If the mixture is too thick, add a little celery braising liquid to loosen the texture. Transfer the mixture to a serving bowl, mix in half of the lime zest, cover and refrigerate.
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8
To serve: Spoon a tablespoonful over the fish or meat steak, sprinkle with lime zest.