Is performing ablution with the sole intention of ablution sufficient for one who has experienced pre-seminal fluid (madhy) and purified it, without the intention of purifying oneself from the pre-seminal fluid during their ablution?

What happened to the man mentioned, regarding his not recalling the intention to purify himself from madhy when performing wudu’, does not invalidate it. So, whoever performs wudu’ due to a naqid (invalidator) of wudu’, and does not recall that naqid during the wudu’, his purification is valid. And washing madhy does not require an intention.