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Please move this discussion to Products as it is Marketo-specific and not a general marketing discussion.
Unfortunately, there isn't a way to program emails to be exempt from reports.
So you're only option is the "Setup" tab of the email performance report to be set to "Send Date: Custom" and choose the week in question and then to manually select the "Marketing Activities Emails" or "Design Studio Emails".
You can vote for the idea here: Exclude/Filter Emails from Email Performance report