So... is Fukumenkei Noise finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: June 27, 2017
Manga finished: January 19, 2019
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Fukumenkei Noise centers around Nino, a young girl who wears a mask and sings by the ocean, carrying a promise she made with two childhood friends.
These friends, Momo and Yuzu, each played a significant role in her life, one as her first love and the other as a musical composer.
After being separated for years, fate reunites Nino with both boys in high school.
However, time has changed them, and fulfilling their childhood promise proves to be more complicated than anticipated.
Nino's desire to reconnect clashes with the evolving feelings and circumstances of Momo and Yuzu, leading to a complex love triangle woven together with the power of music.