I think in the File Listener Rule i.e. In the Process tab, you can specify a page for reporting.
By default it is named as LogServiceFile and is of class Log-Service-File.
Within this class, there is a property pyOriginalDirectory and pyOriginalFileName which contain the values you need. Please check if we can update it and reference dynamically or change the page name and use our own file name accordingly by updating OOB code.