[CodeHealth] Convert c/b/e/api/extension_action to use modern callback

Bug: 1152279
Change-Id: I4e06d84d7687a7083025c08f2d235e71d2fba259
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2642453Reviewed-by: David Bertoni <dbertoni@chromium.org>
Commit-Queue: Maksim Moskvitin <mmoskvitin@google.com>
Cr-Commit-Position: refs/heads/master@{#845997}

chrome/browser/extensions/api/extension_action/browser_action_interactive_test.cc

@@ -104,7 +104,7 @@ class PopupHostWatcher : public content::NotificationObserver {
 
  private:
   content::NotificationRegistrar registrar_;
-  base::Closure quit_closure_;
+  base::RepeatingClosure quit_closure_;
   int created_ = 0;
   int destroyed_ = 0;