Save mails sent from shared mailbox in that shared mailbox's Sent folder

So in VBA I am using SentOnBehalfOfName to send e-mails from a shared Exchange mailbox I have full access to, as apparently I can't use OutApp.Session.Accounts.Item(1) type of code to select a shared Exchange mailbox as the sender of the e-mail.

This works, but sent e-mails get saved in my primary account's Sent folder instead of the shared Exchange mailbox's Sent folder. Is there a way via VBA to force Outlook to save the sent e-mail in the shared Exchange mailbox's Sent folder, or is the only workaround to set up an Outlook rule to move those e-mails from the primary account's Sent folder to the shared Exchange mailbox's Sent folder?