Is ghusl obligatory for a clear, viscous, odorless, and unperceived fluid that exits, and with its exit, sexual desire is quelled, its cause being masturbation, and it carries the characteristics of madhy?

Masturbation is forbidden (haram (definition)). What is discharged with intense desire and lust is semen (mani), which necessitates ghusl (definition) (ritual bath). If it is not so, and it is discharged without lust, merely from thought, then it is pre-seminal fluid (madhi), which only necessitates istinja (definition) (washing the private parts) and wudu (ablution). If you doubt whether what has been discharged is semen or pre-seminal fluid, you have the choice to assign it the ruling of whichever you wish.