Add a Content API around BrowserURLHandler.

chrome/browser/DEPS

 include_rules = [
   "+chrome/app",
   "+chrome/app/locales",
   "+chrome/installer",
   "+chrome/personalization",
   "+chrome/profile_import",
   "+chrome/tools/profiles",  # For history unit tests.
   "+chrome/views",
   "+content/plugin/plugin_interpose_util_mac.h",
   "+content/public/browser",
@@ skipping 13 matching lines @@
   "+webkit/database",
   "+webkit/forms",  # Defines some types that are marshalled over IPC.
   "+webkit/glue",  # Defines some types that are marshalled over IPC.
   "+webkit/plugins",  # Defines some types that are marshalled over IPC.
   "+webkit/quota",
   "+xib_localizers", # For generated mac localization helpers
 
   "-content/browser",
   # TODO(jam): Need to remove all these and use only content/public. BUG=98716
   # DO NOT ADD ANY MORE ITEMS TO THE LIST BELOW!
-  "+content/browser/browser_url_handler.h",
   "+content/browser/cert_store.h",
   "+content/browser/download/download_state_info.h",
   "+content/browser/download/download_types.h",
   "+content/browser/geolocation/wifi_data_provider_common.h",
   "+content/browser/net/url_request_failed_dns_job.h",
   "+content/browser/net/url_request_mock_http_job.h",
   "+content/browser/net/url_request_slow_download_job.h",
   "+content/browser/net/url_request_slow_http_job.h",
   "+content/browser/plugin_service_filter.h",
   "+content/browser/renderer_host/mock_render_process_host.h",
@@ skipping 31 matching lines @@
   "+third_party/libevent",  # For the remote V8 debugging server
   "+third_party/libjingle",
   "+third_party/protobuf/src/google/protobuf",
   "+third_party/sqlite",
   "+third_party/undoview",
 
   # FIXME: these should probably not be here, we need to find a better
   # structure for these includes.
   "+chrome/renderer",
 ]