Do things touched by a person with a hand contaminated with prostatic fluid (madhy) — before washing it — become impure, requiring them to be purified or avoided?

If wet madhy (pre-seminal fluid) touches something, that object must be washed. However, if the madhy is dry when it makes contact, its impurity does not transfer, because dry impurity does not defile what it touches. One should abandon waswas (whispers/obsessive doubts), as certainty is not removed by doubt, and the default state of things is purity.