How to download a zip file from url and close the tab without using delay activity?

Sure. See the attached workflow. WaitForDownloadTest.xaml (8.2 KB)

Before running it, make sure that the download folder is the same as the default download folder for your Chrome browser. Also depending on how long it takes to download your file, you might need to change the Timeout property. Default is 300 seconds (5 minutes). This is the time the activity will wait before throwing an error.

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Chrome setting:

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