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What I would do is go to the Advanced Search and create a search that filters them out and click Save Query.
The Group Tickets area has a dropdown for saved queries - just click the dropdown to apply it to the group tickets to filter out that request type. I have a few of these for the simple purpose of seeing whats assigned to a specific person or group of people within Group Tickets. It is a pretty flexible solution for what you need.
That gave me exactly what I needed, thanks for the prompt answer man, you've saved my sanity.