Possible to have two inbound mailboxes and separate notification rules?

Possible to have two inbound mailboxes and separate notification rules?

We would like to have ServiceDesk pull in requests sent to a separate email address used by external customers. We already have ServiceDesk installed and in use by the internal business.
 
We would like to have a sub-department in IT monitoring a dedicated support group and performing all work within the tool. However, we are concerned ServiceDesk will send emails to external customers asking them to 'resolve' a request etc (exposing our internal server name).
 
Is it possible to completely seperate the queues and notification rules without having to install ServiceDesk on another server/database?

Thanks,
 
Mike

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