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1
Blanch bones and beef chuck in boiling salted water for 8 minutes; drain and rinse under cold water until liquid runs clear.
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2
Char carrots, celery, and onion halves directly over flame until deeply caramelized on cut surfaces.
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3
Combine blanched meat and bones in heavy pot; add water and bring to simmer for 10 minutes, skimming grey foam constantly until surface clears.
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4
Add charred vegetables, bay leaf, thyme, peppercorns, and tomato paste; simmer gently for 150 minutes, skimming fat every 30 minutes.
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5
Strain through fine chinois; discard solids and cool to room temperature, then refrigerate overnight.
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6
Remove congealed fat layer from surface; reheat stock gently over low heat, whisking constantly until it reaches 85°C.
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7
Mount with cold butter in small pieces; season with salt and white pepper.
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8
For demi-glace: reduce by half over gentle heat, skimming impurities frequently, until glossy and coats the back of a spoon.