I mean those below seq 0 are referred to a high sequence beyonder.

Seq 4 to Seq 1 are referred to as high sequence beyonder.

Seq 3 and 4 are either referred to as saints (an example is Saint Selena's ashes correspond to seq 4 or Alignment mother was referred to as Saint when being seq 3) or demigods (never read a mention of Angel being demigods) while seq 2, seq 1, and KOA can be referred to as subsidiary gods, angel or archangel.

"illusory river formed by shimmering mercury symbols. In front of him, he saw something similar but more surreal, as if representing the future or a tributary." Chapter 32 I think the pathway powers Circle of Inevitability main abilities revolves around destiny (tributary of destiny like the river/cycle of fate or something similar to it) that is why COI has connection to fate (river or cycle of fate) and why his abilities seems similar to wheel of fortune pathway. "With a single move, he could rewrite Lumian’s future and render all his efforts futile." Chapter 32 I think we can be sure padre is not of wheel of fortune pathway, as he is definitely not a demigod as didn't display a mythical creature form as Lumian didn't suffer any side effects when padre lost control, and we know the abilities of wheel of fortune seq 1 to 5 through Enzo and he didn't have the abilities the padre is displaying (the ability to rewrite the targets future actions). I think what's happening in Cordu village is not a loop and the events in Cordu village are not being rebooted, but a rewriting of destiny and the events in Cordu village are being rewritten instead or something similar. This is what I typed on the spoiler forum in LCD - Lord of the Mysteries, Book 2. (Circle of Inevitability).

At least circle of inevitability power is related to fate like wheel of fortune, when padre was using his beyonder abilities he was seeing the river of fate and could manipulate fate to a certain extent.

Is most likely a time loop if you considers what happened in the series so far makes sense if you consider it a time loop and name of this volume is nightmare as time loop gives off nightmare feel, also considering padre beyonder abilities being similar to the wheel of fortune pathway; while padre pathway seems not be part of 22 pathways and is likely a new pathway that is connected to circle of inevitability.