Prepare the Shallots: In a small saucepan, combine the chopped shallots and tarragon vinegar. Cook over medium heat until the shallots soften and the vinegar has reduced by half (about 5 minutes). Add Tomato Paste: Stir in the tomato paste and cook for another 2-3 minutes. This gives the sauce its signature tang.
Whisk Egg Yolks: In a separate bowl, whisk the egg yolks until smooth. Slowly add the hot shallot and vinegar mixture to the yolks, whisking constantly to prevent curdling.
Emulsify the Sauce: Gradually drizzle in the clarified butter while whisking vigorously. The sauce should begin to thicken and become smooth. If it gets too thick, add a tablespoon of water to adjust the consistency.
Finish the Sauce: Stir in fresh tarragon, a squeeze of lemon juice, and season with salt and pepper. Taste and adjust seasoning as needed.
Serve: Drizzle the Sauce Choron over your favorite dish and enjoy the creamy, tangy goodness!