chore: remove native_mate (Part 11) (#20719)

* refactor: convert Menu and globalShortcut to gin

* refactor: convert api::Cookies to gin

* refactor: convert View and WebContentsView to gin

* refactor: convert WebContents related classes to gin

* refactor: convert powerMonitor to gin

* refactor: prepare for header change

* refactor: remove last uses of mate::EventEmitter

* refactor: remove mate::EventEmitter

* refactor: move trackable_object to gin_helper

* fix: custom converter should not use Handle

* fix: no more need to check if icon is empty

It was a bug that the Handle<NativeImage> can be non-empty when the
image file does not exist. The bug was caused by the converter code
writing out the image even when the convertion fails.

The bug was work-arounded by adding an additional check, but since the
original bug had been fixed, the additional check is no longer needed.

* fix: should always set frameId even when callback is null

* fix: do not mix gin/mate handles for NativeImage

shell/browser/api/atom_api_system_preferences.h

@@ -9,7 +9,6 @@
 #include <string>
 
 #include "gin/handle.h"
-#include "native_mate/wrappable.h"
 #include "shell/common/gin_helper/error_thrower.h"
 #include "shell/common/gin_helper/event_emitter.h"
 #include "shell/common/promise_util.h"
@@ -36,12 +35,11 @@ enum NotificationCenterKind {
 };
 #endif
 
-class SystemPreferences
-    : public gin_helper::EventEmitter<mate::Wrappable<SystemPreferences>>
+class SystemPreferences : public gin_helper::EventEmitter<SystemPreferences>
 #if defined(OS_WIN)
     ,
-      public BrowserObserver,
-      public gfx::SysColorChangeListener
+                          public BrowserObserver,
+                          public gfx::SysColorChangeListener
 #endif
 {
  public: