Does the continuous discharge of thick, white fluid during prayer and when coughing, without desire, nullify ablution and invalidate prayer?

Wadi is a thick, white fluid that exits after urination due to illness or exertion. Its ruling is the same as that of urine regarding the invalidation of ablution (wudu) and the obligation to wash whatever it contaminates of the body and clothes. However, if its discharge is continuous, its ruling is the same as that of urinary incontinence (sals al-bawl).