I do not believe there is a way to include an attachment via the email template that fires on create. The best you can do is include a link to the record that the Staff user can select which will take them to the request where they could then open the attachment in question.
As you probably are aware, attachments can be sent from the record via Actions > Email or Activity Feed > Send Email.
There is an idea in Salesforce idea portal which is currently in Prod Team review status, hope it becomes GA soon, so do vote it up:
Please note that though the idea in the link below is not exactly what you are asking for, but a "merged" idea to this does, so your need does get covered.
Salesforce idea...in Prod Team Review...hope it becomes GA soon...Thanks, I needed a good laugh this morning. A 5 year old Salesforce idea is but an infant.
We have voted up Salesforce ideas that are 12+years old and have been in "Product Team Review" for years. Still waiting.......
If this is something you really need and a BMC enhancement is not possible then follow Paul Donders suggestion and go the Apex route.