That is what I explained above with “saupadisesa Nibbana” and “anupadisesa Nibbana.”
A living Arahant would have a purified mind. He/she still lives in this world with a purified mind.
– At the death of the physical body (Parinibbana or “full Nibbana“) that lifestream will cease to exist in this suffering-filled world.
That last part is hard to understand for most people. They evaluate things based on the human experience, which may not appear to be “filled with suffering.”
– But human existence is very short in the rebirth process. Most births are in the four lowest realms (apayas) filled with suffering.