Chaos Shrine's Black Crystal
Whenever a nontoken creature you control dies, exile it. At the beginning of your upkeep, you may put a creature card exiled with Chaos Shrine's Black Crystal onto the battlefield under your control with a finality counter on it.
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Official rulings (4) · Scryfall
Finality counters aren't keyword counters, and a finality counter doesn't give any abilities to the permanent it's on. If that permanent loses its abilities and then would go to a graveyard, it will still be exiled instead.
Multiple finality counters on a single permanent are redundant.
Finality counters don't stop permanents from going to zones other than the graveyard from the battlefield. For example, if a permanent with a finality counter on it would be put into its owner's hand from the battlefield, it does so normally.
Finality counters work on any permanent, not only creatures. If a permanent with a finality counter on it would be put into a graveyard from the battlefield, exile it instead.