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1. Generally neutral.
2. Strategies.
3. Games can be considered art when they serve as a means of fulfilling the ideal needs of the creator/player. This varies in each specific case.
4. Plot, simplicity of gameplay (including its ease of learning), meeting the system requirements with my computer's capabilities...
5. HoMM3, HoMM4.
P.S. Please post the essay in the relevant thread later.