For the cream sauce, peel and dice the shallots. Clean, wash and chop the celery. Wash the thyme. Heat butter in a pot. Sauté shallots and celery in it. Dust with flour and sweat lightly.
Deglaze with stock, add thyme, bring to the boil and reduce by half for about 30 minutes. Add cream and bring to the boil. Remove thyme, puree the sauce with a hand blender and pass through a sieve.
Season to taste with salt, pepper and lemon juice.
Peel, wash and roughly dice the potatoes, cover and cook in salted water for about 20 minutes. Clean the mushrooms, wash briefly and halve if necessary. Fry bacon in a pan without fat until crispy. Take out.
Heat 2 tablespoons of oil in a frying pan. Fry the mushrooms until brown. Season with salt and pepper. Sprinkle 1 tbsp. sugar over them and caramelise briefly while stirring. Deglaze with vinegar, bring to the boil and simmer for 3-4 minutes.
Rinse cod and pat dry. Season with salt and pepper. Heat 2 tablespoons of oil in a frying pan. Fry the fish for 3-4 minutes on the skin side first, then 5-6 minutes on the meat side.
Wash the chives and cut into small rolls. Drain the potatoes, add to the cream sauce and mash lightly. Stir in the chives.
For the eggs, heat frying oil in a wide pot to approx. 180 °C. Beat the eggs one by one into a soup ladle, slide into the hot oil and fry for 2-3 minutes. Arrange everything.