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1
Bring the well-reduced brown stock or roasting jus to a steady simmer in a saucepan over medium heat. The surface should tremble evenly; a rolling boil will cloud the jus before thickening begins.
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2
In a separate small vessel, dissolve the arrowroot completely in the cold water. The slurry must be fully smooth and free of dry pockets before it approaches the jus — arrowroot added dry or to hot liquid lumps instantly and cannot be recovered.
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3
Whisk the cold slurry into the simmering jus in a thin, steady stream. The jus thickens almost immediately. This is where the dish lives or dies: stop the moment the jus achieves a light veil — it should pool on a plate and move like liquid silk, dark and translucent, with the faintest perceptible body. If it coats the back of a spoon like a sauce, it is already too thick and cannot be corrected by further cooking.
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4
Pass the thickened jus immediately through a fine chinois — or through muslin for the most refined finish — into a clean pan. The strained jus should appear dark, clear, and brilliant, with no cloudiness or starchy opacity.
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5
Remove the pan from the heat. Swirl in the cold butter piece by piece. The jus is ready when it carries a perceptible sheen but remains entirely unburdened — it should not register as an enriched butter sauce on the palate.