If I may simplify your question - Using Rules, you want to delete an existing item from a folder when a similar, but different, item arrives in the Inbox?
If so, then I do not know any way to do this using standard Rules.
If you are using Outlook Classic, this could be done with custom VBA code and the Run A Script Rule action. https://www.slipstick.com/outlook/rules/outlooks-rules-and-alerts-run-a-script/