In a medium pot, melt the ghee over medium heat.
Add the diced onion, celery, and carrot, sautéing for 5-7 minutes until the vegetables are tender and translucent.
Stir in the minced garlic and tomato paste, cooking for another 2 minutes until fragrant and the paste darkens slightly.
Pour in the seafood stock and season with sea salt, black pepper, and smoked paprika.
Bring the mixture to a gentle boil, then reduce heat and simmer for 10 minutes to allow the flavors to meld.
Using an immersion blender, blend the soup until completely smooth and velvety.
Stir in the full-fat coconut milk and the chopped lobster meat, heating through for 2-3 minutes without boiling.
Ladle into a bowl and garnish with freshly chopped chives before serving.