Export a private webstore API to call into the new inline sign-in flow.

chrome/browser/ui/webui/signin/inline_login_handler_impl.cc

Index: chrome/browser/ui/webui/signin/inline_login_handler_impl.cc
diff --git a/chrome/browser/ui/webui/signin/inline_login_handler_impl.cc b/chrome/browser/ui/webui/signin/inline_login_handler_impl.cc
index d40cbb02c8a3a6a557d69918812178cd02209d21..5552fded1250982b41eb935d70da6008ebc1d900 100644
--- a/chrome/browser/ui/webui/signin/inline_login_handler_impl.cc
+++ b/chrome/browser/ui/webui/signin/inline_login_handler_impl.cc
@@ -149,12 +149,20 @@ void InlineSigninHelper::OnSigninOAuthInformationAvailable(
     if (start_signin) {
       // Call OneClickSigninSyncStarter to exchange oauth code for tokens.
       // OneClickSigninSyncStarter will delete itself once the job is done.
+      std::string continue_url_str;
+      net::GetValueForKeyInQuery(current_url_, "continueUrl",
+                                 &continue_url_str);
+      GURL continue_url = GURL(continue_url_str);
+      if (!continue_url.is_valid())
+        continue_url = GURL();
+
       new OneClickSigninSyncStarter(
           profile_, browser,
           email, password_, refresh_token,
           start_mode,
           contents,
           confirmation_required,
+          continue_url,
           base::Bind(&InlineLoginHandlerImpl::SyncStarterCallback, handler_));
     }
   }
@@ -199,7 +207,7 @@ void InlineLoginHandlerImpl::SetExtraInitParams(base::DictionaryValue& params) {
     // Drop the leading slash in the path.
     params.SetString("gaiaPath",
         GaiaUrls::GetInstance()->embedded_signin_url().path().substr(1));
-}
+  }
 
   params.SetString("service", "chromiumsync");
   params.SetString("continueUrl",