Poached Eggs without chili

2 egg yolks, room temperature 2 tablespoons lemon juice , divided 6 ounces clarified butter 1/2 teaspoon Tabasco sauce 1 teaspoon salt 1 teaspoon white pepper[...]

2 teaspoons cornstarch 1/3 cup 2% low-fat milk 2 tablespoons butter 3 tablespoons gruyere cheese , grated 1 dash kosher salt , to taste 1 dash black pepper ,[...]