Formulaically no. Best you can do is either
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Semi-automatically: manually insert a link to a page (using @) into a cell and formulaically extract a URL from that link:
Extracting URL's from Hyperlinks - #4 by Paul_Danyliuk -
Automatically but with a 3rd party tool: set up Integromat or Zapier to trigger on a webhook to get a list of pages via API and insert the link back into the table. In your DuplicatePage button you’ll have another action to
OpenWindow()that webhook URL. You’ll still have to manually close that tab that opens. You also should probably have some delay, like 2-5 minutes, because there’s a delay between you copying the page and it actually being saved in the snapshot (I mean, if you query pages list through the API request right after duplicating the page, it may not see it yet for another few minutes)