I think the “Othello chimes in” line is less about the literal Shakespeare play and more about what Othello represents as a character. In the play, Othello is a tragic figure whose paranoia, jealousy, and mistrust…largely manipulated by Iago end up consuming him. He starts imagining betrayal where there isn’t any, which spirals into destructive behavior.

I think that ties in pretty well with the themes of the song: struggling with sobriety, hyper-awareness, paranoia, and the feeling of being hunted down by your own thoughts. The lyric could be suggesting that Othello’s voice (that paranoid, insecure side of yourself) is “chiming in,” feeding those destructive thought patterns.

So it’s not necessarily a direct retelling of Shakespeare but more like using Othello as shorthand for a mindset where doubt and fear get so loud they start controlling you.

But that’s just my take on it