the hours, minutes and second hands,
then the perpetual calendar has 4 complications: day, date, month and leap year,
the sunset and sunrise are two separate complications.
It is always a matter of interpretation, which complication within or together with another complication does count as one or more.
As to the two watches: the VC and the Piguet/Muller/Gerber are so very different, that they can not be compared. The VC has some astronomic complications, which my watch does not have. Whereas my watch is rather a super complication with "classic" conservative complications. The self striking Grand et Petite Sonnerie (which needs two spring houses) and the split second chronograph comes to mind.
So we cannot compare two watches so different from one another, except maybe when it comes to the parts, 834 for the VC, over 1100 for the Piguet/Muller/Gerber.
I still presume that my watch is more complicated, but I am of course prejudiced.
As it is I would indeed like to own both watches.
Mr. Alex Sir you gave us a wonderful report of a great epochal watch, thank you.