Mighty sieve? Notify of new Mail in "secret" mailbox

Hi out there!

Is it possible to send an notify-email if a not well public mailbox revice an email?
We want to monitor a mailbox "privatembox@" and if a new mail is recieved, a new email like "there is a new message" should be sent to a shared mailbox "office@". We dont want do forward the recieved message, beacause the content of the private message is not for all users who have access to the shared mailbox.

I checked out the sieve-syntax, but sieve isnt well docmented. Is it possible to do this with sieve? Or do we need some other tools?
(We use ISPconfig, dovecot and sieve || Clients roundcube and thunderbird)

Thank you for all inputs!

Martin

 

Thank you Till - it works well!
Thank you for the link to this extension and especially for the script!