01 - Heat olive oil and butter in a large pot over medium heat. Add prawn and lobster shells; sauté for 5–7 minutes until they turn red and aromatic.
02 - Add onion, carrot, celery, and garlic to the pot. Cook for another 5 minutes until softened.
03 - Stir in tomato paste, bay leaf, and thyme. Cook for 1 minute to deepen flavors.
04 - Pour in brandy and white wine, scraping up any browned bits from the bottom. Simmer for 2 minutes to allow alcohol to evaporate.
05 - Add seafood stock. Bring to a boil, then reduce heat and simmer uncovered for 25–30 minutes to extract maximum flavor from the shells.
06 - Strain the mixture through a fine sieve into a clean pot, pressing firmly to extract as much liquid as possible. Discard solids.
07 - Return the strained broth to medium-low heat. Add prawn and lobster meat. Simmer gently for 4–5 minutes until just cooked through.
08 - Stir in heavy cream and chopped parsley. Season with salt, pepper, and cayenne to taste. Heat through without boiling.
09 - Use an immersion blender for extra creaminess, if desired. Serve hot, garnished with additional parsley.