So... is Tsuki wa Higashi ni Hi wa Nishi ni: Operation Sanctuary 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
Naoki Kuzumi, a high schooler living with relatives after a tragic accident, believes he leads a normal life despite a gap in his childhood memories.
His ordinary world is disrupted when a girl named Mikoto suddenly appears, claiming Naoki is connected to her lost younger brother.
It turns out Naoki's time period is a safe haven for people from a future plagued by a devastating disease.
Mikoto's arrival is driven by her desperate search for her brother, Yuusuke, who she believes was sent to Naoki's time for protection.
The story follows Naoki as he grapples with his forgotten past and becomes entangled in Mikoto's mission, discovering the secrets hidden within his seemingly ordinary life.