Sign in to app.speechify.com using your Speechify account credentials, preferably using a Chromium browser.

The home page displays your library. Click on the three-dot menu under the file for which you want to open the original web link.

Select the 'Open Original' option and the web link should open in your browser in a new tab.
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Please note that this option is only available for the 'Web' files in your library.
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