As I posted at top level, they've already backed off, but even the linked version had a carve out for video games:

  (B) Does not include:
  ...
  (ii) A bot that is a feature of a video game and is limited to
  replies related to the video game that cannot discuss topics
  related to mental health, self-harm, or sexually explicit content, or
  maintain a dialogue on other topics unrelated to the video game