Finely dice the yellow onion, celery, and garlic cloves.
In a large heavy-bottomed pot, melt the ghee over medium heat and sauté the onion and celery until they are soft and translucent.
Add the minced garlic, tomato paste, and smoked paprika to the pot, stirring constantly for 1 minute until the mixture becomes fragrant.
Pour in the seafood stock and bring the liquid to a gentle simmer for 10 minutes to allow the flavors to meld.
Carefully use an immersion blender to blend the soup base directly in the pot until it is completely smooth.
In a small bowl, whisk the arrowroot powder into the coconut milk until no lumps remain, then stir this slurry into the bisque to thicken.
Add the cooked lobster meat to the pot and simmer gently for 3 to 5 minutes until the lobster is heated through.
Season with sea salt and black pepper, then serve hot garnished with freshly chopped chives.