What’s the story about Mr. Takagi who loves to tease people?

According to your description, what you call "Takagi-san who loves to tease people" should actually be the Japanese anime "Takagi-san who is good at teasing people". Takagi is referring to the heroine in it, a girl who likes A girl who teases her classmate (boyfriend). Original work by Takaichiro Yamamoto; supervision by Hiroyuki Akagi; composition by Michiko Yokote; produced by SHIN-EI.

This anime tells the story of Nishikata, a middle school boy, and Takagi, a girl full of clever ideas, who are at the same table.

Please adopt if you are satisfied.