Preheat the oven to 120°C (250°F) and place a serving plate inside to warm.
Finely chop the tarragon.
Season the steaks with salt and pepper. Heat the clarified butter in a pan over medium-high heat until very hot. Fry the steaks on the first side for 2 minutes, then flip and fry the second side for 1 to 1.5 minutes depending on thickness. Transfer immediately to the warm plate and place in the oven at 120°C (250°F) for 8 to 10 minutes.
Pour 0.5 dl cognac and some white wine into the pan to deglaze, scraping up any browned bits. Reduce the liquid to 0.5 dl.
Stir in 1.5 dl cream and 2 tablespoons coarse mustard. Let the sauce simmer until it thickens, about 2 to 3 minutes. Remove from heat, stir in the chopped tarragon, and season with a pinch of sugar, salt, and pepper to taste.