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Tomb Raider is not a woman protagonist game though, at least in the first game they wanted to have Indiana Jones but didn’t got the rights to it. So the developers replaced the assets with a female.
In whole series there is not much that makes her a woman, more like an American gun-maniac guy that looks like a girl.
The protagonist is a woman.
The first game didn’t have much in the way of story. The focus was on the puzzles and adventuring. I don’t think that makes her less of a woman character. In a video game, the assets are the only difference, anyway. Not that women can’t be rough and adventurous and physical and like guns.