Blue axis in RC is not Z but X. The green one is Y and Z is red.
It is ordinary right hand system. The axes are oriented (when you are looking from above): Y is pointing to the north and it is the green arrow, X is pointing to the east, it is the blue arrow and Z is pointing up as the red arrow.
(the colors are not right)
The pivot doesn’t show the axis orientation, just that it is this axis. Also, it can be placed anywhere.
The center of CS is recognised according to the grid. The meeting point of black axis is the centre [0,0].