Hi,
can you share more details about what you are trying to achieve? One way to approach this might be to attach an event to your ticket with a 3-day delay when it is assigned to a particular group. On firing, have the event condition check whether the ticket has been transferred elsewhere since the event was attached, and if not, allow the event to do whatever it needs to. If you can give some more details of your use case we can probably be more helpful.
Regards,
James