cros: Fix API 'add' password and complete auth racing

chrome/browser/resources/gaia_auth_host/saml_handler.js

Index: chrome/browser/resources/gaia_auth_host/saml_handler.js
diff --git a/chrome/browser/resources/gaia_auth_host/saml_handler.js b/chrome/browser/resources/gaia_auth_host/saml_handler.js
index cf7075b7d463d505f02f774bb5685ca199e4c724..826f1bb7eca50f6943dc762f2d4bcf1d348fdda9 100644
--- a/chrome/browser/resources/gaia_auth_host/saml_handler.js
+++ b/chrome/browser/resources/gaia_auth_host/saml_handler.js
@@ -431,6 +431,8 @@ cr.define('cr.login', function() {
         // eventually be followed by onCompleteLogin_() which does set it.
         this.apiToken_ = call.token;
         this.apiPasswordBytes_ = call.passwordBytes;
+
+        this.dispatchEvent(new CustomEvent('apiPasswordAdded'));
       } else if (call.method == 'confirm') {
         if (call.token != this.apiToken_)
           console.error('SamlHandler.onAPICall_: token mismatch');