Does water that exits a man and resembles maniyy necessitate ghusl? And is ghusl required every time it exits, given its continuity?

Not every fluid discharged from a man necessitates ghusl (ritual bath). Ghusl is only obligatory upon the discharge of maniy (semen), which is the thick fluid that exits in spurts with pleasure, followed by a sensation of relaxation. This applies to one who is awake.

As for a sleeping person: If he sees maniy, ghusl becomes obligatory for him, even if he does not recall a wet dream or pleasure.

If maniy exits from a person who is awake due to illness or cold, without spurting or pleasure, then ghusl is not required; rather, only wudu (ablution) is necessary. This is because it is not the maniy of lust that necessitates ghusl.

What has exited from you might not be maniy; it could be wady, which is a thick, white fluid that exits after urination, and its ruling is the same as that of urine. Or it could be madhy, which is a thin, sticky fluid that exits during lust or thinking about intercourse; it is impure and necessitates wudu, not ghusl.

If a sleeping person wakes up and finds a wetness, but does not know if it is maniy or madhy, he has the option to consider it maniy and perform ghusl, or consider it madhy and wash what it has touched and perform wudu.

If the discharge is continuous and there isn't enough time for both purification and prayer, it falls under the ruling of سلس (incontinence).