Lovely Melody: Lovely (obviously)
Vivid Star: Pop
Radiant Abyss: Cool
Eternal Revue: Celeb
Shining Diva: Celeb (maybe natural... Idk Natural-type has two brands that are quite the opposite from each other...)
Electro Remix: Pop
Cherry Sugar: Lovely
Princess Magic: Premium (Or maybe it's multi type like Rosette Jewel)
Also I categorized the Himitsu no AiPri brands too:
Poppin Heart: Lovely
Miracle Moon: Cool
Scarlet Butterfly: Celeb
Rosession: Cool
Bear Bear Bear: Lovely
Rainbow Candy: Pop
Love My Music: Cool/Pop (depending on which route they go with for the coords)
Crystal Verse: Premium