chore: remove native_mate (Part 7) (#20561)

* refactor: use gin converters in api::Protocol

* refactor: convert JS constructor impl to gin

* refactor: use InitWithArgs helper

* fix: gin_helper::Dictionary should behave the same with mate

* fix cpplint warnings

* refactor: no more need to patch gin/dictionary.h

shell/browser/api/atom_api_web_request_ns.h

@@ -13,8 +13,6 @@
 #include "gin/arguments.h"
 #include "gin/handle.h"
 #include "gin/wrappable.h"
-#include "native_mate/dictionary.h"
-#include "native_mate/handle.h"
 #include "shell/browser/net/proxying_url_loader_factory.h"
 
 namespace content {