Possible to get read parameters from tags?

I have a script that compares tags to each other. I’m trying to use one of the tags to control the parameters for a sibling elements. For instance, if I have a piece of beam with a tag containing beamMark, Size, Studs, Camber, Comments, I would like to get other tags with similar beamMarks and transfer the other tag values back to the tagged element.

But what I’m struggling with is getting the parameters the tag is reading. I can get the tag text, but I can’t figure out how to get parameter the text is being read from. Is this possible?

I believe to do this you’d need to access the label values in the tag. Unfortunately to my knowledge the label dialogue is inaccessible to the Revit API currently.