Okay I've just found this, where the originator of the original BSE tiktok video explains how it came about and what it means, to her.
https://www.tiktok.com/@wipo/video/7290860218831965473?lang=en
Where the 'criminal offensive side eye' thing got added in is anyone's guess and I'm not even sure what that's supposed to mean? As a phrase, it doesn't make any sense. It sounds like something a teenager would make up. But it's important to remember that if you see loads of tiktok videos or memes featuring black kids and the phrase 'criminal offensive side eye' then whatever they intended it to mean, one thing is clear, they made that video and they uploaded it with that caption themselves. White people didn't do that to mock black people. The black kids themselves did it. Obviously only a very brave or stupid white person would share that meme though. If there is some sort of 'in' joke among black kids there, then it's not a joke we white people should be helping to perpetuate.
Anyway, as for the 'bombastic side eye' memes featuring black people, quite how white people sharing that very inoccuous stuff with no negative connotations at all can be construed as racist, I am not quite sure. But according to some on this thread, white people do not have the right to be amused by black people in any context at all, even when it's the intention of the black person in question to be amusing. And therein lies our problem.
Because lots of black people have started doing 'a thing' on social media as part of a running joke, it will become known as a black popular culture thing. Therefore it is a thing that white people would be sensible to avoid trying to be part of, or drawing attention to in any way. It can only go wrong for us. No referencing it, no sharing it, no copying it, and definitely no laughing at it, in case our amusement is taken as racism. Even though the memes have no specific racial connotations or significance and are just as relatable for white people.
This is where we are now. We should look away and pretend we didn't see the meme or the video made by the black person, because just in case there is a black-centric joke or a cultural reference in there somewhere, then it's not a joke or a cultural reference to be enjoyed by the likes of us. Stay in your lane, Whitey.