So... is Chuukou Ikkan!! Kimetsu Gakuen Monogatari: Kimetsu no Utage Tokubetsu-hen 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
Chuukou Ikkan!! Kimetsu Gakuen Monogatari: Kimetsu no Utage Tokubetsu-hen consists of special episodes related to the Demon Slayer franchise.
These specials were originally performed live at an event with the voice actors dubbing the characters.
Later, a version with a newly recorded dub was released on DVD and Blu-ray, allowing fans to experience the stories in a more polished format.
The specific content of the specials remains undisclosed by the synopsis, but they seem to be tied to the Kimetsu Gakuen spin-off and the Kimetsu no Utage event.