Hi @Anonymous
Thank you for posting.
Based on your issue topic, you don’t want to receive notification email while sharing a flow. If I misunderstood, please kindly let me know.
Actually, we can’t achieve your requirement through flow as this function belongs to internal policy which is deployed by design. We can’t control system sending notification if any changes made. However, we can configure rules to delete such kind of notifications. I’m not sure whether you know something about exchange or not. But we can do that in exchange admin center.
1.Please go to exchange admin center > mail flow > rules;
2.Create a new rule and set up condition: The sender is …, then input ‘maccount@microsoft.com’;
3.Set up action to ‘delete the msg without notify anyone…’.

The transport rule will be effective after a while. From my end, it takes about 20 minutes but it depends. If it takes effect, you won’t receive such kind of notification any more.
Here is the message trace result for this notification from maccount@microsoft.com:

After that, the notification emails failed to deliver as expected.
Hope the content above may help you.
Thanks
Anna