Syslog locally and remote with specific facility level

We want to send all syslogs from F5 devices to remote syslog server to facility local3.

Syslog server has different facilities. I would like to change the facility of these messages to 3 before f5 syslogs are sent to the syslog server.This will make sure all logs from F5 will go to a single file on syslog server in the name of local3 facility.Easy to manage logs that way on the syslog server.Otherwise logs are all over the place and we have a customized syslog server to write unique device types syslog to unique facility.

Please let me know for any additional information required.