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1
Melt the butter in a small saucepan over medium-low heat. Add the minced shallots and sweat, stirring occasionally, until fully translucent and without colour — they should yield no resistance when pressed against the pan.
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2
Add the white wine and white wine vinegar. Raise the heat and reduce by two-thirds. This is where the dish lives or dies: the reduction must be intensely sharp, almost uncomfortable to taste alone — a polite, gently tart result means the sauce has already failed its purpose.
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3
Pour in the demi-glace. Bring to a gentle simmer and cook for 15 minutes. The sauce should remain pourable — not a paste — and carry a deep savoury note beneath the acidity.
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4
Pass the sauce through a fine chinois, pressing the shallots lightly. The liquid that falls through should be smooth and glossy, with no shallot fibre.
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5
Return the strained sauce to the pan and bring back to a near-simmer. Add the cornichon rounds and capers to the hot sauce. The brine elements should be detectable immediately on tasting — sharp, saline bursts against the demi-glace body.
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6
Remove the pan from the heat entirely. Add the chopped tarragon, chervil, and flat-leaf parsley. Stir once to distribute. The herbs must go in off heat — contact with hot liquid turns them grey within seconds. The finished sauce should be bright green-flecked and smell freshly herbaceous.