Is it permissible to pray with an ablution that is nullified according to one madhhab (school of thought) but not nullified according to another, specifically when two different nullifiers, whose rulings vary between the madhahib, are present?

"Talfiq" (patching together) between madhhabs (schools of thought) means adopting the validity of an act from two madhhabs after it has been deemed invalid in each of them. This is invalid by consensus, as taqleed (following a madhhab) is conditioned on avoiding talfiq. However, if the opinion of one of the followed imams aligns with the view of another mujtahid (independent jurist) who does not adhere to a specific madhhab, such as Ibn Taymiyyah, who believes that touching a woman or the emission of blood from other than the two private parts does not invalidate ablution, and this mujtahid is considered an absolute mujtahid, then it is permissible to follow him for personal practice. Ibn Hajar al-Haytami also affirmed the permissibility of following those other than the four imams, provided it is for personal practice, not for issuing fatwas or judging.