Is it permissible to switch between madhhabs (schools of thought) within a single prayer, whether individual or congregational?

There is no objection to a layperson following more than one jurisprudential school of thought (madhhab), and their prayer is not invalidated by that, as long as they do not intend to exclusively follow dispensations (rukhas), but rather it occurs incidentally. Especially since a layperson is not obligated to adhere to a specific madhhab. So, if a person performs ablution by wiping part of their head, emulating Imam Shafi'i, and then touches their private parts, emulating Abu Hanifa, their ablution is valid.