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For your question above, you're looking for a solution on how to set an auto reply on a shared mailbox so users can't turn it off.
From Exchange admin side, we could use this command to set auto reply for shared mailboxes: Set-MailboxAutoReplyConfiguration.
Also, please note that OOF only runs once to a person, not every time.
Set-MailboxAutoReplyConfiguration -Identity email@example.com -AutoReplyState Enabled -InternalMessage "Internal auto-reply message." -ExternalMessage "External auto-reply message."
And you could also using outlook rule to meet this need as well, Exchange 2016 Share Mailbox Auto Reply Problem
Assuming that you have the full access permission of the shared mailbox, please create a new Outlook profile for the shared mailbox using your username and password.
Open Outlook with the profile of the shared mailbox, create a rule, Apply rule on messages I receive, and choose “have server reply using a specific message”:
Detailed steps can be seen here as well: Setting an auto reply for a shared mailbox
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