quick answers to mails are not saved in the sent folder

Description

When answering to mails on my dashboard via the quick reply functionality, the email gets send but not saved in the sent mails folder. Therefore, it is also not shown as sent on my dashboard which makes colaboration very hard.

Impact

BIEBs and above when working in teams.

Proposal

When a mail has been answered via the quick reply on the dasboard, three things should happen:

1. The mail should be set on read
2. The mail should be set on answered
3. The answer should be listed in the sent folder of the mailbox
4. The answer text should be shown on the dashboard such as any sent email does

Links / references

Search for 'message' => 'Spitze! Die E-Mail wurde versendet.' to find the function I am talking about.