Smoked Trout Hash with Choron Sauce

Name: Smoked Trout Hash with Choron Sauce
Ingredients: 1/3 cup white wine vinegar; 1 tablespoon minced shallots; 1/2 teaspoon black peppercorns; 2 tablespoons tarragon leaves, plus 1 tablespoon chopped; 1 egg yolk; 2 teaspoons warm water; 1 cup clarified butter; 1/2 teaspoon salt, plus more for seasoning; 1/4 teaspoon ground white pepper, plus more for seasoning; Pinch cayenne pepper; 1/4 cup tomato concasse; 6 cups vegetable oil, for frying; 2 medium white potatoes, peeled and small diced; 1 tablespoon olive oil; 1/2 cup finely chopped onions; 8 ounces smoked trout, flaked; 1 teaspoon garlic; 1 teaspoon distilled white vinegar; 4 poached eggs; 1 tablespoon chopped chives; 1/3 cup tomato puree