I can help, though by the way you've bolded that and then extracted just 'promoting violence', you seem to have read a comma in that copy where there isn't one. "Promoting violence or hate" is a single phrase.
The full text reads:
Now, according to that, promoting violence or hatred against individuals or groups based on attributes such as race or ethnic origin, religion, disability, gender, age, veteran status, or sexual orientation/gender identity would be actively suggesting that a race or ethnic origin, religion, disability, gender, age, veteran status, or sexual orientation/gender identity should be openly abused, physically attacked or have property damaged or destroyed on the basis of being that race or ethnic origin, religion, disability, gender, age, veteran status, or sexual orientation/gender identity.
The line that follows suggest that it's okay to do so if the target is a country (though I'm not sure how a country has a race or ethnic origin, disability, gender, age, veteran status, or sexual orientation/gender identity), but not if it's the people of the country - although nationality isn't listed as one of the 'certain attributes', I don't imagine that's a complete and final list, rather a set of examples.
By the terms of the above, no, as when you play a 'violent' video game you are not promoting violence or hatred against individuals or groups based on attributes such as race or ethnic origin, religion, disability, gender, age, veteran status, or sexual orientation/gender identity.
If, every time you killed someone you yelled "YES, I KILLED ANOTHER 🤬 MUZZIE COCKROACH! THEY ALL NEED TO DIE!", then you probably would be promoting violence or hatred against individuals or groups based on the attribute of religion.
Hope that helps.