I think everyone has it wrong, I don't think she unconsciously put 2 and 2 together and knows deep down he's Izumi, I think she's falling in love with him separately from Izumi (which makes sense considering they're the exact same person so they behave and look the same which is obviously her type)
I
SIMP her

but she losing Heroine
thank you for translating
To be a losing heroine she would have to want Ishizumi when she clearly supports him and Reina, you can't lose a race you didn't enter. She is cute though, don't forget how she looked in chapters 16-19.