Three makes a genre?

Webtoon's Dr. Kim of London is about a modern-day Korean surgeon being reincarnated in 19th century England and having to deal with lack of sanitation and public amputations and other such barbaries. This puts it in the same third-time's-the-genre as the manga Jin (modern day Japanese surgeon in 19th century Japan) and the K-drama Faith The Great Doctor (modern day Korean surgeon in 14th century Korea).

I love me a good "let's science the shit out of this" story and both it and its medical-historical subgenre need names. Any ideas?