The solution is to go to System Preferences when creating the report.  There is a setting that will give the report title a date and time stamp giving each report a unique name and preserving it from being overwritten.  

TA references the "Add Timestamp to Output Files?" System Preference (under General/Reports/Outputs) when creating report files, error files, and output files. Your organization can decide to include a timestamp at the end of the file name. You can set this system preference to "Y" for yes to use this functionality. TA inserts the timestamp before the file extension (i.e., at the end of the file name). If the file name contains any periods, TA inserts the timestamp before the last period in the file name. The format of the timestamp is "YYYYMMDDHH24MISS."

If you do not want to use this functionality, you can set the system preference to "N" for no.

You do not have to set this system preference; you can leave it blank.