If you've completed all the tasks in the Expedition before the event timer runs out, you will still be able to play until the event ends.
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There may still be some unfinished side tasks remaining. If you see statues holding locked reward chests, you can get rewards from these chests by collecting certain items on the map. Click the statue to see which task it offers.
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You won't be able to convert energy into other in-game resources after the event timer runs out. Instead, you can spend it to remove obstacles as you move through the map on your way to collect rewards.