Like “Columbo” and “Devotion of Suspect X”, but with time travel

I like murder mysteries like Columbo the tv show, and Devotion of Suspect X by Keigo Higashino, and Malice by Keigo Higashino. Basically, the crime and the criminal is known to the reader. The plot is mainly the criminal trying to throw off the detective and the detective finding a tiny mistake in a foolproof plan

And I like time travel. I've read time travel(loop) murder mysteries like 7 1/2 Deaths of Evelyn Hardcastle, Gone World, Psychology of time travel, Agatha Christie etc.

I was hoping to find a book that mixes these two aspects. So, "howdunnit" or "HowEscapeIt" with time travel