Which of these examples show that? As far as I can tell the closest is the server form, but that only seems to allow the form submissipn to be handled dynamivally, but doesn't show updating the server rendered component?
It's not explicitly demonstrated, but the Revalidating Data example (https://nextjs.org/docs/app/building-your-application/data-f...) would do it - calling revalidatePath/revalidateTag from a Server Action will (if the current route matches the path/tag) cause the route to get re-rendered as part of the same round trip.