I want to have a point feature as a center of face. So if the face updates then the point feature updates too. I found the journal to find center of face (Link below) but I need to update the point every time I change the face
Does Point/Point on Face (UParameter=.5 and V Parameter=.5) has any issue in you case?
If you wish to update the center point of the face even when the face is trimmed/cut or modified then you can use Extract Geometry/Face (FIX AT CURRENT TIMESTAMP option is OFF ) and then use the Point/Point on Face (UParameter=.5 and V Parameter=.5)
So, to be clear, you are looking for the "center of mass" (for lack of a better term) of the face and not the geometric center of the face?