Overall, we have a lot of links and emphasis for the CoC already (it’s linked in the flagging UI itself).
But it’s possible to hide the flag button until a user visits the CoC page.
I’m inclined to do it. But if we do, we will need to clarify this status in Guide to flagging posts (incidentally, it’s not available to TL0, right? So we should clarify that too) in the details section.