I don't think there would be any links to copy from the tab, you would go to the URL field at the top and copy from there.
Another setting I enabled this morning is to revert the new tab behavior from a more recent update because whenever I would click for a new tab it wouldn't actually be opening a new tab but rather attempting to replace whatever I search for in the existing tab instead, so maybe they have some more kinks to work out there.
about:config
zen.urlbar.replace-newtab = false