So... is Tanjou: Debut finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Tanjou: Debut follows Aki Itou, an ordinary high schooler navigating the everyday experiences of adolescence.
We see her enjoying simple pleasures like reading, spending time with friends, and harboring a crush.
The story hints that Aki's idealized vision of adulthood might clash with the realities she's about to face, suggesting a coming-of-age narrative where she confronts challenges and learns about life.
The anime appears to be a slice-of-life drama that explores the transition from youthful dreams to a more complex understanding of the world.