How to get URL of currently opened webpage of Chrome application desktop shortcut
I'll try to answer this question. OP is asking for "Chrome Application", it can be created from Chromes menu->More tools->Create application shortcuts
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Once click this shortcut(its different from .url) it will open the URL in chrome but without address bar, menu button etc.. Here is a screenshot, desktop application and chrome side by side.
So locating to address bar then ctrl+c wouldn't work. The only way I found, without an extension, is to use "View Page Source"(right click or Ctrl+U), with which, you get back to the standard chrome page with an address bar, then "ctrl+L, ctrl+C" will work, just need to remove the "view-source" from the copied content.