I don't know what difference luck has, but here's the path I took for this achievement.
- Go out
- Go to the shed
- Go back
- Go to the city centre
- Visit the huntsman
- Go inside
- Yes, let's do it, rifle will be useful
- Well, try it, if you're so sure...
- It's time to leave
- Wait for the Island approaching
- Take rest on the tree branches