I’m trying to build the following segmentation in Adobe for a driver analysis:

I have web applications that have different domains and have separate Adobe instances running on them. Recently we implemented a chat component embedded within these applications. Now I want to capture analytics for the chat panel like the number of times the chat is open, sessions, number of liked answers, etc. Is there any possibility that I can measure analytics for chat separately from the parent product Adobe instance like a separate property for chat panel? If yes how this can be achieved?