Review Detail of troutrun in Beginning with the Ubume Bird

This story seems to indicate that the MC will get to travel to different worlds or time periods to perform certain tasks. After getting an opportunity to potentially solve the MC's illness, the MC is transported back to 1986 Hong Kong where a game-like element is introduced along with a set of tasks. To achieve the task, the MC appears to be willing to do whatever is necessary, even following underneath a boss, clinging to a wealthy sponsor (woman) and underground fighting. The story seems to focus heavily on martial arts, going deep into some historical martial art context.