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Aldera Junior High is a normal school. Despite their best efforts, no one really thinks of the school as anything special because nothing happens there.
Until people start dying.
Teachers and students show up dead having been killed in ways that related to their quirks somehow. No one has any clue who the murderer could be.
No one thinks it's the quirkless deku who finally gave into his deadly urges and got revenge on everyone who's ever hurt him.
Bakugo doesn't really care about anyone at Aldera, but considering people are dying, Bakugo thinks, that as the future number one hero, he should figure out who's doing all of this.
So Bakugo uses his little-seen smarts to slowly piece together the clues, his ego blinding him to the fact that the clues have been planted to slowly lead him to his own death.
Smiling, the quirkless deku that has been saving his worst abuser for last closes the trap around Katsuki Bakugo and revels in the shock scrawled on Bakugo's face as he realized who was truly behind all of this.
Too bad it's not enough to stop Izuku Midoriya from cutting off his hands, rendering him worse than quirkless.
Then he leaves him to bleed out as he blows up the entire building.
They never suspect the quirkless.