The clockwork humanoid responds: "The evacuation was complete by 22 Lissa 13480, which was no less than 126 days ago, but we were switched off for some time, so it might have been longer."

Spoiler: Hewitt
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You know that Azlanti had their own calendar, and preparing for this trip you did some research. You remember that surviving records date the Earthfall as occuring on or around 18 Zura 13480, which is year -5239 AR...