i got it's to break his bully's ego that his daughter from his own loins is bullied like how he bullied the guy, but bitch is a casualty to this nonsense.
like getting hit with a stray bullet and you just think "why?". shit has nothing to do with her but "how unlucky of you to be born from this man i hate so much, sucks to suck ¯_(ツ)_/¯" basically
I think he’s actively trying to act like the teachers he had who turned a blind eye to the bullying he had to endure. He then records it(I think there’s a recording device on his tie) and then uploads it to show everyone how fcked up the school system is as well as how bullying is such a big problem.

The MC Teacher KNOWS what it's like to be bullied and has a great resentment towards bullies but he is so concentrated on his bully the main perpetrator that he lets any other bullies slide/gave them a pass. Why haven't you done anything to all/most of your bullies from high school reunion (yet) + those who are in your school/work place now and don't you hate all of them enough to not tolerate their behaviour???!!!
I understand very well that he won't do anything to help the daughter of his nemesis but shouldn't he also punish secretly her cruel bullies?
If you ask me, many characters in this story are really stupid and shitty.
And what's up with his complicated plan?