Use ExternalFileSystemBackend in the DriveURLRequestJob.

chrome/browser/chromeos/fileapi/file_system_backend.cc

Index: chrome/browser/chromeos/fileapi/file_system_backend.cc
diff --git a/chrome/browser/chromeos/fileapi/file_system_backend.cc b/chrome/browser/chromeos/fileapi/file_system_backend.cc
index 1b0ac44e096c3873c606652dc216e69f613ddcea..c99d241c0d674a8015b53d1fa73b9c514fc5efdb 100644
--- a/chrome/browser/chromeos/fileapi/file_system_backend.cc
+++ b/chrome/browser/chromeos/fileapi/file_system_backend.cc
@@ -10,6 +10,7 @@
 #include "chrome/browser/chromeos/fileapi/file_access_permissions.h"
 #include "chrome/browser/chromeos/fileapi/file_system_backend_delegate.h"
 #include "chrome/browser/media_galleries/fileapi/media_file_system_backend.h"
+#include "chrome/common/url_constants.h"
 #include "chromeos/dbus/cros_disks_client.h"
 #include "storage/browser/blob/file_stream_reader.h"
 #include "storage/browser/fileapi/async_file_util.h"
@@ -180,6 +181,9 @@ bool FileSystemBackend::IsAccessAllowed(
     return true;
   }
 
+  if (url.origin().scheme() == chrome::kDriveScheme)
+    return true;
+
   // Check first to make sure this extension has fileBrowserHander permissions.
   if (!special_storage_policy_.get() ||
       !special_storage_policy_->IsFileHandler(extension_id))