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Not sure if this will work using Pocket Outlook but...

If you use Gmail you can "add" additional email accounts (under "Settings" I believe). This can allow you run your outbound mail from other email accounts through the Gmail SMTP server.

On your device you would need to configure the SMTP server information in Pocket Outlook to match the Gmail SMTP server setup. I think you can get that information from the Help section on Gmail. They use some very specific ports and protocols.

Sorry...no time for a step by step description...must go to a meeting.