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But an indestructible creature is put into a graveyard from play as a state-based action if its toughness is less than or equal to 0, and -1/-1 counters can achieve that

With that ability trigger on the stack, use Rings of Brighthearth and pay two generic to copy it, and resolve everything but that second untap ability

This means if the host is destroyed, the creature with augment stays in your hand

Any time a creature has more than one Role controlled by the same player attached to it, the creature keeps the newest Role and all the others controlled by that player are put into the graveyard (and then cease to exist as they're tokens)