How do I create an Automator Application to forward new mail from Mac Mail?

I have an old e-mail address linked to my Mac Mail account. I have made a rule that forwards new mail from a specified address - call it johndoe@test.com - between my old e-mail and my current e-mail. Right now, I need to manually open the Mail application for the rule to apply to new mail.

I'd like to do this automatically, without needing to manually open and close Mac Mail. To avoid opening it manually, I created an Automator program that performs the following actions on a daily basis:

While this Automator Application opens and quits Mac Mail, it doesn't seem to work, as my current address doesn't receive any forwarded e-mails. Is there another way to automatically forward e-mails from johndoe@test.com from my old e-mail address (linked to Mac Mail) to my new one?