I don’t think wars in Tanach are comparable to video games, we see by Yaakov aveinu before he fought Esav Rashi says that he was actually pained at the fact that he might have to hurt another person, showing that we would like to avoid violence at all costs but if someone is coming to kill us than we have no choice but to fight. However playing violent video games especially ones that try to make the blood and people look as real as possible doesnt seem like the best thing to do. Also I would be surprised if you could find a handful of people who even think about amalek when they are playing these video games.
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