An event lasts over 4 days, so you ought to be getting at least some sleep during that time (Author's note: don't set alarms to wake you during the night so you can play the event. Get good rest. A game isn't worth sleep deprivation). If your bed time is approaching, stop merging goblins.
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You may wish to spread your goblins out so that each rock that's being worked by every goblin will soon be for more than you plan to sleep. Desire to sleep 8 hours? Try setting your goblins up so that each rock/mine/gate being mined has 9 hours of mining time on it. Optimally you may wish to sleep while your goblins will work on a gate, but that isn't necessary. Just make sure that you maximise the mining times of one's goblins where possible, even though that means mining keys in corners. I mean, you will require them eventually anyway.