Because Finality counters only care if the card they're on goes to the graveyard, you could use a Flicker effect (of which there are many in Esper) to exile your artifact before it's destroyed and return it without a counter
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The most obvious application for Aven Mindcensor is stopping cards such as Demonic Tutor or Green Suns Zenith , but it can also be used to punish greedy mana bases that rely too much on fetchlands
How do I know it will happen this time, though
Plus, as the spell is cast from exile when it runs out of time counters, its a guaranteed Faldorn trigger each time as well