So... is Dragon, Ie wo Kau. finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: June 20, 2021
Manga finished: May 02, 2023
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Letty, a young and unusually timid red dragon, finds himself kicked out of his family home after failing to protect their eggs.
Now homeless and vulnerable in a world full of adventurers and monsters who see him as a valuable target, Letty desperately seeks a safe place to live.
He unexpectedly encounters Dearia, an elf who is both an architect and a real estate agent.
Dearia offers to help Letty find the perfect home, leading them on a journey through various locations and encounters with fantastical creatures as they search for a suitable dwelling.
The anime follows their adventures as Letty learns about different types of dwellings and the challenges of finding a place to belong in a dangerous world.