No date announced yet. The new PV is here. See the Crunchyroll article for additional information. Short synopsis from the article:

First published in 2014 and later adapted into a manga by Hiroki Ohara, the story of Ameku Takao’s Detective Karte follows a super intelligent doctor working in Tenikai General Hospital’s general diagnosis department, tackling the unidentifiable ailments of patients and other mysteries brought before her keen eyes.