Running Quick Fix actions from the UI thread

In my plugin, I have a long-running task after which I want to show a Quick Fix action. I've read in this doc about the threading rules and I wanted to use executeOnPooledThread() to run the task in the background and then runReadAction() to switch to the UI thread. Unfortunately, using holder.registerProblem() doesn't show a Quick Fix on the UI (even though it works if not wrapped in executeOnPooledThread() and runReadAction()).

I have the following code:

class YamlElementVisitor(
    private val holder: ProblemsHolder,
    private val isOnTheFly: Boolean,
) : YamlPsiElementVisitor() {

    override fun visitFile(file: PsiFile) {
        
        ApplicationManager.getApplication().executeOnPooledThread {
            ... long running task in the background thread ...

                ApplicationManager.getApplication().runReadAction {
                    ... showing quick fix from the UI thread ...
                    holder.registerProblem(...)
                }
            }
        }
    }
}

What's the correct way of doing this?