fix: Ignore private notes from the last 5 min when determining if an out of office message should be sent (#11552)

A while back, we added a UX enhancement that disabled sending the OOO
message when an agent had replied to the conversation in the last 5
minutes.

https://github.com/chatwoot/chatwoot/pull/11073

This would not send a "we will be back" message even if that reply was a
private note. This would break for bots that posted private notes, and
even for agents who need to just add a note and not actually reply to
the email.

app/services/message_templates/hook_execution_service.rb

@@ -27,7 +27,7 @@ class MessageTemplates::HookExecutionService
     return false unless message.incoming?
     # prevents sending out-of-office message if an agent has sent a message in last 5 minutes
     # ensures better UX by not interrupting active conversations at the end of business hours
-    return false if conversation.messages.outgoing.exists?(['created_at > ?', 5.minutes.ago])
+    return false if conversation.messages.outgoing.where(private: false).exists?(['created_at > ?', 5.minutes.ago])
 
     inbox.out_of_office? && conversation.messages.today.template.empty? && inbox.out_of_office_message.present?
   end