Those reboots are not due to deaths. Exo minds need to be rebooted when their minds get too cluttered with past memories.
Dead is dead if you have no ghost.
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Which leads me to think how dumb that part of the lore is. To kill a Guardian, just shoot the ghost? These big bosses were doing it wrong and much more complicated it seems.
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This is exactly why Fireteams exist, to protect each other's Ghost from getting shot as revives happen.