Hello Peter Mitola,
Greetings.
The Desktop Central Agent is common for Local and different Remote Office. However, .mst file contains the information about the Remove Office that you created. If all the Remote Offices are connected via VPN/MPLS or any means then you can deploy the Agents to all machines from console and configure the IP Scope so that Agents will automatically move to the respective Remote Office based on it's IP Address.
Trust the above information helps. Do let me know if you have a additional questions at the moment. I'll be glad to assist you.
Regards,
-----
Dinesh Babu J
Sr. Technical Consultant
Desktop and Mobile Device Management Solution
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