>The website claims it can escape "Kubernetes / container clusters" and "CI runners & build farms" but I don't see anything supporting the claim it can escape a container

they state that the write-up is forthcoming. presumably there is some additional steps or modifications that will be detailed in the 'part 2'.

"Next: "From Pod to Host," how Copy Fail escapes every major cloud Kubernetes platform."

This is correct. The container escape exploit and writeup is not yet released.