I did the math for every possible combination Ame has for her outfits.
For her detective outfit she has
>4 major styles (coat and hat)
>32 total variations (adding her mustache, stethoscope and magnifying glass)
For her casual outfit she has
>16 major styles (4 hairstyles, her glasses and coat)
>192 total variations (taking into account her earrings, necklace, gun and purse)
> a total of 288 if she gets sunglasses
For her formal outfit she has
>4 major styles (2 hairstyles and sunglasses)
>64 total variations (including her moustache, earrings, tiara and the black thingies she can take off)
For a total of 24 major styles and 288 variations across three outfits.
My spoiler reps failed me