If you already have full access to a shared mailbox, you have the ability to change the 'Out of Office' automatic message on that account.
To do so, you have to access the account in a particular way. It cannot be done through your usual method of accessing the mailbox in Webmail or Outlook.
Instructions
Follow these steps:
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Login to your own Webmail account
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Click your profile picture in the top right of the Webmail page.
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Select "Open another mailbox"
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In the new box that opens, type in the name of the shared mailbox.
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Click on that name once it's found in the listing, then click "Open".
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That will open the shared mailbox in a new Webmail tab.
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On that new tab, you can click the gear icon near the top right for Settings.
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From there you can go to 'Mail', then "Automatic Replies" to make the changes.
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