So... is Hatenkou Yuugi finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 08, 2008
Manga finished: July 01, 2022
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
Rahzel, a privileged young woman, is unexpectedly thrust into a journey of self-discovery after being sent away from her opulent home.
Driven by a desire to "see the world," she embarks on a path filled with new experiences and encounters.
Along her travels, Rahzel forms a bond with two enigmatic men, Heat and Alzeid, who are also walking their own unique paths.
Despite their contrasting personalities, Heat and Alzeid share a common thread in their respective journeys.
With her sharp intellect, unwavering determination, and innate magical abilities, Rahzel aids those she meets along the way.
Her journey becomes a catalyst for others to explore their own potential and find their place in the world.