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/step6-login-state.test.js

@@ -124,6 +124,10 @@ function isAddPhonePageReady() {
   return ${JSON.stringify(Boolean(overrides.addPhonePage))};
 }
 
+function isAddEmailPageReady() {
+  return ${JSON.stringify(Boolean(overrides.addEmailPage))};
+}
+
 function isVisibleElement() {
   return true;
 }
@@ -261,6 +265,20 @@ return {
   assert.strictEqual(snapshot.state, 'phone_entry_page');
 }
 
+{
+  const api = createApi({
+    pathname: '/add-email',
+    href: 'https://auth.openai.com/add-email',
+    emailInput: { id: 'email' },
+    submitButton: { id: 'submit' },
+    addEmailPage: true,
+  });
+
+  const snapshot = api.inspectLoginAuthState();
+  assert.strictEqual(snapshot.state, 'add_email_page');
+  assert.strictEqual(snapshot.addEmailPage, true);
+}
+
 assert.ok(
   extractFunction('inspectLoginAuthState').includes("state: 'oauth_consent_page'"),
   'inspectLoginAuthState 应产出 oauth_consent_page 状态'
@@ -271,4 +289,9 @@ assert.ok(
   'inspectLoginAuthState 应产出 phone_entry_page 状态'
 );
 
+assert.ok(
+  extractFunction('inspectLoginAuthState').includes("state: 'add_email_page'"),
+  'inspectLoginAuthState 应产出 add_email_page 状态'
+);
+
 console.log('step6 login state tests passed');