you can read this essay (actually a repro of the paper, "the first stone", with a bunch of typos thrown in) if you're interested in getting a flavour for girard's thought:
https://mimetictheory.com/articles/casting-the-first-stone-by-rene-girard/
I've just read this essay.
He says Jesus says to the crowd "let him with no sin cast the first stone" in a quiet, non-confrontational way, but essentially reminding them of the law they all know.
So this dissipates the violence, cos there's no bloodlust to imitate.
And then he contrasts this with another story, in Epheseus, where another preacher convinces the crowd to stone a beggar, even though they're a bit hesitant at first. He achieves it by egging them on.
That seems to be it really. It's got quite a religious tone, he seems quite Christian?
Very long winded style of writing, but I also like it, it's very patient and exact.
Basically about the pile on.