Governments loves extorting money and bossing everyone around. I can imagine a specific 'sin tax' on videogames would not be very popular.
Video games definitely require cognitive and social skills, some more than others. But less face it, the games that are best at that aren't as popular or addictive. Also, most actions in video games are performed much better by bots.
There are usually much better real world alternatives. I recommend playing games for fun and doing other activities to learn unless you completely lack alternatives or have serious motivation issues.
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