Can't you just put something like this here?
Admin panel -> Emails -> Templates -> YOUR TEMPLATE NAME -> New Ticket Alert
%{recipient},
New ticket #%{ticket.number} created.
-------------------
Name: %{ticket.name}
Email: %{ticket.email}
Dept: %{ticket.dept.name}
Subject: %{ticket.subject}
%{message}
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To view/respond to the ticket, please login to the support ticket system.
%{ticket.staff_link}
Your friendly,
Customer Support System powered by osTicket.