Milingona,

I've never tried, but the game guide doesn't say so specifically.
Click to reveal..
If your villager has died and you needed him to complete the puzzle that would mean that you'd never finish it, which seems very unfair. If you are not sure what to use to cut the branch, what do the villagers generally use for cutting? Hint: most people will have solved this as their first puzzle.

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To err is human; to arr is pirate.