What kind of Curry a given Pokemon likes depends on the Nature of that Pokemon. There is no one type that a whole specie likes -- it's as individual as any person.
To figure it out for your Arcanine, take a look at the stats its Nature modifies. This already correlates to certain types of Berries it doesn't like, and Curry flavorings follow the same pattern. Alternatively, if the Arcanine has a neutral nature (raises and lowers the same stat), it doesn't have a favorite, and likes all flavors equally.
See the Berries section on this page here on the site: https://pokemondb.net/mechanics/natures