The current time is 1:55 PM, and in five minutes it will be 2:00 PM, which is arguably the moment with the strongest yang energy of the day.
Yu Liang has limited time, and so does Barrel Man An Buchen, so the two of them don't dwell further on each other's identities and communicate using straightforward language.
The timing of falling into water determines the timeline traversed afterward.
This setting rather fits Yu Liang's current understanding.
He's fallen into the water twice, with each experience distinctly different. After the first fall, it seemed that he did not traverse timelines and remained in the original timeline, but this fall in the water caused a significant issue with his cognition.
It wasn't until after the second fall, when he encountered Ze's version of "Yu Liang," that he finally reclaimed some discernment about his true self through Ze's defined real anchor points.