How to set up just one CSM connector as Authoritative source?

Hello all, 

We have various connectors that use the CSM configuration, some starling connectors (Salesforce and SuccessFactors ECP) and some custom target system connected throguh SCIM. These connectors are not authoritative sources, so the PersonAutoFullSync configuration for CSM target system is set up as SEARCH.

Now we need to add a new Starling connector (JIRA server)  to work as authoritative source for external employees. In order to provision new identities originated in this system we need to set up PersonAutoFullSync as SEARCH and CREATE just for this target system. How can that be done without changing the behaviour of the other CSM system?

Thanks!