No one has replied
@jpwong I had that feeling about Alphapolis. It still doesn't hurt to toss out some names for series on here. You never know....
One of the OG, yeah. No Reincarnation / Otome game, but it seems to be the progenitor of the modern Villainess sub-genre. Released in Web Novel form in 2012, two years earlier than Bakarina from what I could tell.