Heat olive oil in a large saucepan over medium heat. Add the chopped onion, carrot, and celery. Sauté for about 5 minutes, or until the vegetables are softened.
Add minced garlic, dried thyme, and paprika. Cook for an additional minute until the garlic is fragrant.
Stir in the tomato paste, cooking for 2 minutes until well blended.
Pour in the dry white wine, scraping the bottom of the pan to release any browned bits. Let the mixture simmer for about 5 minutes, until the wine is reduced by half.
Add the seafood stock and bring the mixture to a boil. Lower the heat and simmer for 15 minutes.
Use an immersion blender to puree the soup until smooth (or carefully transfer to a regular blender in batches). Return to the pot if using a regular blender.
Stir in the shrimp and crab meat, then add the heavy cream and brandy. Cook for an additional 5-7 minutes, or until the shrimp are cooked through.
Season with salt and pepper to taste, adjusting as needed.
Ladle the bisque into bowls and garnish with chopped parsley before serving.