Is it necessary to pay attention to recurring doubts about the discharge of pre-seminal fluid (madhy) and the presence of impurity after relieving oneself, which lead to prolonging the time of purification in the bathroom and delaying prayer?

It appears that the questioner is afflicted with waswasah (obsessive whispering), and they should disregard these whisperings and pay no attention to any of them. They should relieve themselves naturally, without excessive lingering in the restroom, and then proceed with purification (taharah) and istibra' (ensuring no drops of urine remain). It is mustahabb (recommended) to sprinkle water on one's trousers to dispel doubt, and it is not obligatory to dry or wipe the penis. If one doubts that something has exited the penis, they should not pay attention to this doubt, for the default is that nothing has exited. If one doubts that a specific spot on the ground has been contaminated by impurity, they should not pay attention to this doubt and should assume certainty of its purity. It is not necessary to purify a specific part of the body or clothing unless there is absolute certainty that impurity has transferred to it.