If you set your flow to trigger when the Sharepoint list item is updated and then you update the Sharepoint list items in your Flow there is no way to stop this from happening. You could try changing the trigger when item is created and just update the item in the flow. This would stop it from triggering multiple times.
However if it needs to trigger when Sharepoint item is updated, there are a few things we can do. If you have set up fields to update when the approval is approved we could add a condition at the very beginning of the flow to check those fields and if they are blank to end the flow early.
Community Support Team _ Alex Rezac
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If you have set your Flow to only run when an item is created and it keeps triggering when you update the action within the flow, then that is not something that should be happening. can you take a screenshot of your flow?
Please, have a look at this post by Serge Luca about State Machine Pattern: https://sergeluca.wordpress.com/2018/11/26/new-flow-state-machine-pattern-with-unlimited-running-tim...
I used and it works great for processes like the one you described.
Hope it helps!
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