What is the ruling on playing a game that contains songs and women, while lowering the volume of the songs and averting the gaze, and what is the ruling on playing it with someone who does not do that?

It is not permissible to play the aforementioned game as long as it contains forbidden elements such as music and immodestly dressed women, even if one intends to lower the sound and avert the gaze. A believer must distance himself from temptations.