Manga publisher Shogakukan updated its online listings for the forthcoming manga releases of Karakai Jōzu no Takagi-san (translated as Teasing Master Takagi-san) volume 16 and the spin-off manga Karakai Jōzu no (Moto) Takagi-san volume 12 revealing that the anime series will continue with a third season and a feature film in 2022.
UPDATE: The official Japanese Twitter account for the Teasing Master Takagi-san manga has confirmed the Shogakukan listings and formally announced the new anime series and feature film.
The manga is published in English by Yen Press under the title Teasing Master Takagi-san.