### Preflight Checklist

- [X] I have read the [Contributing Guidelines](https://github.com/electron/electron/blob/master/CONTRIBUTING.md) for this project.
- [X] I agree to follow the [Code of Conduct](https://github.com/electron/electron/blob/master/CODE_OF_CONDUCT.md) that this project adheres to.
- [X] I have searched the [issue tracker](https://www.github.com/electron/electron/issues) for a feature request that matches the one I want to file, without success.

### Electron Version

13.1.6

### What operating system are you using?

macOS

### Operating System Version

Big Sur 11.4

### What arch are you using?

arm64 (including Apple Silicon)

### Last Known Working Electron version

12.0.7

### Expected Behavior

Using any of the documented `titleBarStyle`s such as `hiddenInset` allows me to use `setDocumentEdited(true)` on a `BrowserWindow` instance yielding a black dot inside the "close" button of the window to indicate that the document inside the window has been edited.

### Actual Behavior

Using a `titleBarStyle` of any documented value *except* `default` breaks the `documentEdited` indicator in the "close" button on macOS. Irrespective of the value of the `documentEdited` flag, the black dot indicator does *not* appear.

### Testcase Gist URL

https://gist.github.com/b7a57c14511499bbec3da70be76b567f

### Additional Information

You can test out how this works by commenting/uncommenting the `titleBarStyle` value I've added in the gist.

> The "last known electron version" has been sourced from the version VS Code currently uses, and they use a titleBarStyle of hidden. That works flawlessly.
shell/browser/native_window_mac.h
void SetTopBrowserView(NativeBrowserView* browser_view) override;
  void SetParentWindow(NativeWindow* parent) override;
  content::DesktopMediaID GetDesktopMediaID() const override;
  gfx::NativeView GetNativeView() const override;
  gfx::NativeWindow GetNativeWindow() const override;
  gfx::AcceleratedWidget GetAcceleratedWidget() const override;
  NativeWindowHandle GetNativeWindowHandle() const override;
  void SetProgressBar(double progress, const ProgressState state) override;
  void SetOverlayIcon(const gfx::Image& overlay,
                      const std::string& description) override;
  void SetVisibleOnAllWorkspaces(bool visible,
                                 bool visibleOnFullScreen,
                                 bool skipTransformProcessType) override;
  bool IsVisibleOnAllWorkspaces() override;
  void SetAutoHideCursor(bool auto_hide) override;
  void SetVibrancy(const std::string& type) override;
  void SetWindowButtonVisibility(bool visible) override;
  bool GetWindowButtonVisibility() const override;
  void SetTrafficLightPosition(absl::optional<gfx::Point> position) override;
  absl::optional<gfx::Point> GetTrafficLightPosition() const override;
  void RedrawTrafficLights() override;
  void UpdateFrame() override;
  void SetTouchBar(
      std::vector<gin_helper::PersistentDictionary> items) override;
  void RefreshTouchBarItem(const std::string& item_id) override;
  void SetEscapeTouchBarItem(gin_helper::PersistentDictionary item) override;
  void SelectPreviousTab() override;
  void SelectNextTab() override;
  void MergeAllWindows() override;
  void MoveTabToNewWindow() override;