Requester Notifications - Ack. new request Question

Requester Notifications - Ack. new request Question

I have "Acknowledge Requester by Email when a new request is received" enabled.  Which is perfect for when we create a request.
However, when I complete the request while they are on the phone or via email (FCR) and mark the call immediately closed, I'd rather they didn't get an email at this time.  I think they should only get a ticket if the request stays open.
Is there a way to change this?
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