Melt the ghee in a large heavy-bottomed pot over medium heat.
Add the diced onion, celery, and carrot to the pot and sauté until the vegetables are softened and translucent.
Stir in the minced garlic, tomato paste, dried thyme, and smoked paprika, cooking for two minutes until the mixture is fragrant and the paste darkens slightly.
Pour in the seafood stock and bring the liquid to a gentle simmer for 15 minutes to allow the flavors to meld.
Carefully use an immersion blender to purée the soup base until it reaches a completely smooth consistency.
In a small bowl, whisk the arrowroot powder into the heavy cream until no lumps remain, then stir this mixture into the simmering pot.
Gently fold in the lobster meat and continue to simmer for 3-5 minutes until the lobster is heated through.
Season the bisque with sea salt and black pepper, then garnish with finely chopped fresh chives before serving hot.