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Can someone recommend please some modern academy type of manhwa's?

I have been trying to find this one that has the main character a short hair and from what I remember it was purple color or probably another color. It's like same with Inso's Law but it's another manhwa.

I also remember a girl and she was originally a villainess but suddenly became a high schooler in another world and it was the author that switched with her.

Honestly, I don't know if these are the same story but PLEASE HELP