Process Message Type

In looking at the product documentation that was provided in regards to the mail server setup links, I was able to take away the fact that a process model can be triggered using an email.

However, could someone please help me in understanding whether the process can be triggered without setting up the Appian Inbox.  In addition, I am having an issue configuring the Appian inbox. Emails seem to be showing in my Appian inbox but however are not in Appian.

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