Question: Which breed is native to France, the Basset Bleu de Gascogne or the Carolina Dog?

Context paragraphs:
Gros Manseng: Gros Manseng (sometimes translated: Large Manseng, rarely "Big Manseng") is a white wine grape variety that is grown primarily in South West France, and is part of the Manseng family.  It produces dry wines in the Jurançon and Béarn regions of Southwest France.  In Gascony it is permitted in the Pacherenc du Vic-Bilh "Appellation d'origine contrôlée" (AOC), in the Côtes de Gascogne and in the Floc de Gascogne.

Floc de Gascogne: The Floc de Gascogne is a regional apéritif from the Côtes de Gascogne and Armagnac regions of Sud-Ouest wine region of France.  It is a "vin de liqueur" fortified with armagnac, the local brandy.  It has had "Appellation d'origine contrôlée" status since 1990.

Grand Bleu de Gascogne: The Grand Bleu de Gascogne (FCI No.22) is a breed of dog of the scenthound type, originating in France and used for hunting in packs.  Today's breed is the descendant of a very old type of large hunting dog, and is an important breed in the ancestry of many other hounds.

Ariegeois: The Ariegeois is a breed of dog from the "département" of Ariège in the Midi-Pyrenées region of southern France.  It is a medium-sized pack-hunting scenthound deriving from crossing of Grand Bleu de Gascogne and Grand Gascon-Saintongeois hounds with local Briquet dogs.  It is used both as a courser and for driving game to waiting guns.  While most successful with hares, it is also used for hunting deer and boar.  It is distinguished by its friendly nature with other hounds and affection for human companions.

Landes de Gascogne Regional Natural Park: Landes de Gascogne Regional Natural Park (French: "Parc naturel régional des Landes de Gascogne") is a protected area of pine forest, wetland and oceanic coastline located in the Aquitaine region of southwestern France.

Basset Bleu de Gascogne: The Basset Bleu de Gascogne (] ), also known as the Blue Gascony Basset, is a long-backed, short legged breed of dog of the hound type.  The breed originated in the Middle Ages, descended from the Grand Bleu de Gascogne.  It nearly became extinct around the early 19th century; its salvation was attributed to one Alain Bourbon.  A French native breed, it is rare outside of its homeland.  It is recognized internationally by the Fédération Cynologique Internationale, in the UK by The Kennel Club, and by the United Kennel Club in the United States.  The "bleu" of its name is a reference to its coat which has a ticked appearance.

Petit Bleu de Gascogne: The Petit Bleu de Gascogne (FCI No.31) Is a breed of dog of the scenthound type, originating in France and used for hunting in packs.  Today's breed is the descendant of a very old type of large hunting dog.  The Petit Bleu de Gascogne is not a small (petite) dog, the name comes from its use on small game.

Griffon Bleu de Gascogne: The Griffon Bleu de Gascogne (FCI No.32) Is a breed of dog of the scenthound type, originating in France, and is a versatile hunting dog, used on small and large game, in packs or individually.  The Griffon Bleu de Gascogne has a speckled, rough coat.

Carolina Dog: The Carolina Dog is an ancient breed of medium sized wild dog that lives mostly in the Southeastern United States.  They make good domestic pets with proper socialization and have been recently classified as a recognized Pariah and Spitz type domestic dog breed as well.  Although re-domestication of Carolina Dogs as a pet has recently become popular and the breed has been formally recognized, it is classed by the United Kennel Club in the Pariah Dog group.

Côtes de Gascogne: Côtes de Gascogne is a wine-growing district in Gascony producing principally white wine.  It is mainly located in the département of the Gers in the French region Midi-Pyrénées, and it belongs to the wine region South West France.  The designation Côtes de Gascogne is used for a "Vin de Pays" ("country wine") produced in the Armagnac area.  The decree of 13 September 1968 created the difference between a "Vin de Pays" and simpler table wine, the so-called "Vin de table".  The designation "Côtes de Gascogne" obliges the producers to respect the stricter rules and production standards, which were adopted with the decree of 25 January 1982.

Supporting paragraphs: Basset Bleu de Gascogne Carolina Dog
Answer: Basset Bleu de Gascogne