@Vijay Antony M Thanks for sharing more details.
You can leverage body('Refresh_Outbound_TV_Test')?['error']?['message'] and validate it with the message content.
For example, I have used Compose action and leveraged is equals to and matches the exact content "Invalid dataset refresh request. Another refresh request is already executing". You can change it as per your need and used contains with already executing. For any other JSON object, the condition would be false your send email (V2) action will be executed.
Feel free to get back to me if you need any assistance.
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