Responses
More like the manga "The Last Game"
Search for 'last game', it's really similar (of course the plot and the setting is different, but there's a lot of similarity like ML is a narcissist, blush a lot in front of FL, and thinks FL is his rival despite FL practically doesn't care.. FL is a cool non-chalant girl and the first person who outrank ML in academy.. The characters design is quite similar too (both FLs in this manhwa and last game have long straight dark hair with straight bangs and cat eyes, both MLs are blonde and have bright blue eyes)
Reminds me of http://www.mangago.zone/read-manga/the_stereotypical_life_of_a_reincarnated_lady/uu/nhs_chapter-697621/pg-46/