Broadcast

Your link stays the same across reloads, so anyone you have ever sent it to can watch again. Both of these take effect the next time you go live.
New link mints a fresh key, so old links can no longer watch — but they still name you, and whoever holds one can still tell when you are live. New ID goes further: a new identity, so old links point at nobody and reveal nothing. It cannot be undone, and everyone you still want watching needs the new link.