The difficult part is determining what qualifies as a document that needs to be mailed. You need to write an agent that checks each document in the Inbox to determine if it meets the criteria to be a "specific" incoming note.
Then, to calculate the "for a while," you can compare the current date and time to the document's created date and time. If it's greater than the period desired, forward it to the target address.
Next, move the document to another folder so it won't be scanned and forwarded each time the agent is executed.
You'll want to schedule the agent to run every 30 to 60 minutes during normal business hours, if that meets your needs.
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