Heat the ghee in a large pot over medium heat, then add the diced onion, celery, and carrot, sautéing until the vegetables are softened.
Stir in the minced garlic and tomato paste, cooking for about one minute until the paste becomes fragrant and darkens slightly.
Pour in the dry sherry to deglaze the pan, using a wooden spoon to scrape up any flavorful bits from the bottom.
Add the seafood stock, dried thyme, and bay leaf, then bring the liquid to a gentle boil before reducing the heat to simmer for 15 minutes.
Remove the bay leaf and use an immersion blender to process the soup until it reaches a completely smooth consistency.
Stir in the full-fat coconut milk and the cooked lobster meat, heating gently for 2-3 minutes to warm the lobster through.
Season the bisque with sea salt and black pepper, then serve immediately garnished with freshly chopped chives.