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Hello @Priya Jha and welcome to Microsoft Q&A.
One option is to have your Logic app create a blob when it completes the work. Then you can have a Data Factory validation activity to check for the existence of that blob. Place the validation activity after the web activity calling the logic app. The validation activity will make the pipeline wait until either the blob exists, or it times out.
Another option could use a webhook activity to call the Logic app instead of using a web activity. This way, the pipeline waits for the Logic app to call it back before proceeding.
A webhook activity can control the execution of pipelines through your custom code. With the webhook activity, customers' code can call an endpoint and pass it a callback URL. The pipeline run waits for the callback invocation before it proceeds to the next activity.