Hi @amarcoc. I'm having a hard time just trying to find the manual way you are showing in your image. What version of Inventor are you using, and what exactly have you right clicked on to get those two menu's to show. I can see that you have a weldment type assembly open, but that's about it.
I think I may have found the setting that you are referring to within the API though. Is this what you were looking for?
Dim oADoc As AssemblyDocument = ThisDoc.Document
oADoc.ModelingSettings.ShowConstraintStateInBrowser = True
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