Re: When a new email arrives not triggering
Hi @Anonymous
Thank you for your reply.
I do understood your concern and seems it’s impossible to create inbox rule as there is no common point for emails you want to move to that folder.
If that’s the case, I’m afraid there is no way to achieve your purpose. I tried to consider recurrence flow to check the top mail in that folder. However, there is no parameter that we can rely on to detect whether it’s moved just now or long time ago. There is no property like ‘last modified date’ or ‘movement date’ we can refer. we can only get the received date for that mail which is no inaccurate.
If you don’t mind, could you add one more manual action for these emails? Please move emails to that folder and then manually flag it. Because the flag action can be applied to all emails whether it’s a new email or old one. I already tested this part, it works perfect.

If you don’t want to flag emails, I don’t think there is any other way available for you.
Since it’s not feasible right now. All I can recommend is post your idea in our UserVoice website. Sorry for the inconvenience caused.
https://powerusers.microsoft.com/t5/Power-Automate-Ideas/idb-p/MPAIdeas
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Best regards,
Anna