Hello Rishabh Srivastava,
Thanks for posting your question in the Microsoft Q&A forum.
it seems that the issue you're facing is related to the authentication or authorization of the Azure Data Factory pipeline when running on a scheduled trigger. when you run the pipeline in debug mode, the authentication and authorization context is likely different from when the pipeline runs on a scheduled trigger.
- To ensure a successful connection to the Log Analytics workspace from the Source Web Activity, verify the authentication method being used. If you're using a managed identity, make sure it has the necessary permissions to read data from the Log Analytics workspace. For service principals or other authentication methods, confirm that the credentials or access tokens are valid and have the required permissions.
- Grant the necessary permissions to the managed identity or service principal used by the Data Factory pipeline to read data from the Log Analytics workspace.
- Ensure that the linked service is configured correctly with the appropriate authentication method and credentials.
Please don't forget to close up the thread here by upvoting and accept it as an answer if it is helpful