The user should be able to post the email sent to the client via email very similar to the concept of when texting the client it post it to the case.
The user wants to be able to save time rather than doing another process of posting back to the case when sending the email out.
Any email sent from NEOS should automatically saved to the Notes tab. Saves time for the users.
Likewise, when emailing a note from the note tab, that email should also be posted.