What is the ruling on the emission of madhy (pre-seminal fluid), many (seminal fluid), or wady (thick white fluid that is discharged after urination) due to illness, cold, carrying a heavy load, or exerting effort, and what is required upon its emission and non-emission?

The emission of semen in a state of health necessitates ghusl (ritual bath). However, its emission due to illness has been previously detailed regarding its ruling. The emission of madhy (pre-seminal fluid) in a state of health necessitates wudu (ablution) without dispute. However, its emission due to illness has been previously detailed regarding its ruling. The emission of wady (thick white discharge) in a state of health necessitates wudu without dispute. However, its emission due to illness has been previously detailed regarding its ruling.