Use Office 365 Outlook Connector
Go to your flow's Send an email
In the From Send as field, enter the new person's full email newowner@company.com
Save and test; it sends as that person if they allow it via Outlook delegation or admin setup.
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Limit: Needs permission from the new owner in their Outlook settings.
Switch Flow Owner Entirely
Open Power Automate portal > My flows.
Pick your flow >Share the flow for new Owner> Click the 3 dots > Settings > Owner section.
Remove old owner, add new email, save.
All future emails from this flow now come from the new owner's account.
Note: In simple Share the flow to the new User and Open the flow from his ID and change the email connection
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Regards,
Riyaz