Earth doesn’t die and doesn’t necessarily need care. The way Earth supports our life may be dying, but not the planet. Humans may die, the planet may stop providing for us and/or for life as we know it.
But the planet will keep spinning until the Sun or other gravitational forces decide otherwise. Life might very well find other ways to manifest itself, in ways we can’t imagine.
Let’s call things by their real name. We’re not saving or caring for the planet, we care for life as we know it.