In a medium pot, melt the ghee over medium heat and sauté the diced onion, celery, and minced garlic until softened and translucent.
Stir in the tomato paste and smoked paprika, cooking for 1-2 minutes until the paste darkens slightly and becomes fragrant.
Pour in the seafood stock, bring to a gentle simmer, and cook for 10 minutes to allow the flavors to meld.
Using an immersion blender, carefully blend the soup base until completely smooth and velvety.
Reduce heat to low and stir in the full-fat coconut milk and cooked lobster meat, heating through for 3-4 minutes without boiling.
Season with sea salt and black pepper to taste.
While the soup finishes, lightly toast the brioche slice until golden brown.
Ladle the bisque into a bowl, garnish with fresh chopped chives, and serve immediately with the toasted brioche on the side.