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Why bother with mini-artifacts by week 3? Does your knowledge increase that quickly? It's better to build up an army and give a couple of 2nd or 1st tier artifacts to your main units! Although, I think that if the map isn't rich in resources, with clusters of sulfur and mercury, it's better not to make mini-artifacts. I haven't tried it on week 3, so I don't know what will happen, but it's clear that there will be a shortage for building!