Add chrome/browser/extensions to "GN check"

ui/file_manager/BUILD.gn

 # Copyright 2014 The Chromium Authors. All rights reserved.
 # Use of this source code is governed by a BSD-style license that can be
 # found in the LICENSE file.
 
 import("//tools/grit/grit_rule.gni")
 
 grit("resources") {
   source = "file_manager_resources.grd"
   outputs = [
     "grit/file_manager_resources.h",
     "grit/file_manager_resources_map.cc",
     "grit/file_manager_resources_map.h",
     "file_manager_resources.pak",
     "file_manager_resources.rc",
   ]
 }
 
 component("file_manager") {
   sources = [
     "file_manager_export.h",
     "file_manager_resource_util.cc",
     "file_manager_resource_util.h",
   ]
-  deps = [
+  public_deps = [
     ":resources",
     "//base",
   ]
   defines = [ "FILE_MANAGER_IMPLEMENTATION" ]
 }