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It's not that hard to figure out, really. The great thing about the Fog of War in this situation is that once you're out of sight, people/objects you can have a dialogue with disappear from sight, as does the way the mouse pointer looks when you would normally mouse over such a person/thing. This means, that once your characters can't see the statue anymore (i.e. when the Fog of War clouds their vision), you can click on the eye of the statue to retrieve the treasure without accidently starting a new dialogue when you didn't intend to.