feat: Enhance login flow with add-email and phone verification support

- Added support for the add-email page in the logging status module.
- Updated step 8 to handle phone-registered accounts during email verification.
- Implemented logic to submit add-email before polling for email verification codes.
- Enhanced tests for step 7 to detect username input as phone number and ignore hidden inputs.
- Improved step 8 to allow add-email handoff only when requested.
- Updated documentation to reflect changes in the login verification flow.

tests/step8-restart-step7-error.test.js

@@ -115,6 +115,37 @@ return {
   );
 });
 
+test('ensureStep8VerificationPageReady allows add-email handoff only when requested', async () => {
+  const api = new Function(`
+function getLoginAuthStateLabel(state) {
+  return state === 'add_email_page' ? '添加邮箱页' : 'unknown page';
+}
+
+async function getLoginAuthStateFromContent() {
+  return {
+    state: 'add_email_page',
+    url: 'https://auth.openai.com/add-email',
+  };
+}
+
+${extractFunction(backgroundSource, 'ensureStep8VerificationPageReady')}
+
+return {
+  run(options) {
+    return ensureStep8VerificationPageReady(options || {});
+  },
+};
+`)();
+
+  await assert.rejects(
+    () => api.run({}),
+    /当前未进入登录验证码页面/
+  );
+
+  const result = await api.run({ allowAddEmailPage: true });
+  assert.equal(result.state, 'add_email_page');
+});
+
 test('step 8 reruns step 7 when auth page enters login timeout retry state', async () => {
   const calls = {
     rerunStep7: 0,