Revert of Use ChromeBrowserStateManager instead of BrowserListIOS.

ios/chrome/browser/omaha/BUILD.gn

 # Copyright 2016 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.
 
 source_set("omaha") {
   sources = [
     "omaha_service.h",
     "omaha_service.mm",
   ]
   deps = [
     "//base",
     "//base:i18n",
     "//components/metrics",
     "//components/prefs",
     "//components/profile_metrics",
     "//components/version_info",
     "//ios/chrome/browser",
-    "//ios/chrome/browser/browser_state",
+    "//ios/chrome/browser/browser_state:browser_state_impl",
     "//ios/chrome/browser/browser_state_metrics",
     "//ios/chrome/browser/ui",
     "//ios/chrome/browser/upgrade",
     "//ios/chrome/common",
     "//ios/public/provider/chrome/browser",
     "//ios/public/provider/chrome/browser/omaha",
     "//ios/web",
     "//net",
     "//third_party/libxml",
     "//url",
@@ skipping 16 matching lines @@
     "//ios/chrome/common",
     "//ios/chrome/test:test_support",
     "//ios/public/provider/chrome/browser",
     "//ios/public/provider/chrome/browser/omaha",
     "//ios/web",
     "//ios/web:test_support",
     "//net:test_support",
     "//testing/gtest",
   ]
 }