The tailed beast break it for them.
they can break all genjutsu except for tsukuyomi
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This is wrong.
Naruto has KCM mode here, not BM where he is in sync with Kurama.
Therefore going by your faulty logic, Naruto is immune to Tsukuyomi (Which is evident).
And before you say "tsukyomi controls time, so by the time its cast, its too late to undo the genjutsu" know this: when jins and their bijuu communicate, they are also outside of time. So they truly are immune to genjutsu. I don't know about the mizukage though
So Itachi's stupid genjutsu 1 shots perfect jins?