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Some people, even most people, would always rather just speak to a person first, rather than listen to a recording of your office directory or department extensions. If you want to offer the operator first, try this:

1.) Sie sind verbunden mit der Mailbox von Egon Mustermann .Derzeit ist Herr Mustermann nicht zu erreichen. Sie können es zu einem späteren Zeitpunkt erneut versuchen, oder hinterlassen eine Nachricht mit Ihrem Namen und Telefonnummer sodass sich Herr Mustermann zeitnah zurückmelden kann.
In my (US-based) experience, doctor offices & the like have a place where you can fill out if they can leave messages or not (and some even have asked detailed messages vs callback messages), so that's my perspective! And that I can set different things for different numbers. So my cell phone they can leave detailed messages on any matter, my mother's house phone is detailed from billing only and otherwise callback, her cell phone is callback only. (And they also aren't allowed to tell her anything other than billing, so even if she does call them back about anything else! That was just a measure set up when I lived with her one summer & had no cell reception at her house.)