For actions that are performed by any of the agents you can set an automation rule under Admin > Workflows > Automations > Ticket Updates > New rule:


When an action performed by...

Agent


Involves any of these events:

Ticket is > Deleted


On tickets with these properties:

--None--


Actions:

Send email to group > Assigned group > customize the email


You can set similar rules for when a ticket is Resolved and Closed.