fix: recover add-phone flow from auth error pages

background.js

@@ -10802,6 +10802,28 @@ const phoneVerificationHelpers = self.MultiPageBackgroundPhoneVerification?.crea
   DEFAULT_PHONE_CODE_POLL_INTERVAL_SECONDS,
   DEFAULT_PHONE_CODE_POLL_ROUNDS,
   ensureStep8SignupPageReady,
+  navigateAuthTabToAddPhone: async (tabId, options = {}) => {
+    const visibleStep = Math.floor(Number(options.visibleStep || options.step) || 0) || 9;
+    const requestedTimeoutMs = Number(options.timeoutMs);
+    const timeoutMs = Number.isFinite(requestedTimeoutMs) && requestedTimeoutMs > 0
+      ? requestedTimeoutMs
+      : await getOAuthFlowStepTimeoutMs(30000, {
+        step: visibleStep,
+        actionLabel: 'direct add-phone navigation',
+      });
+    await chrome.tabs.update(tabId, { url: 'https://auth.openai.com/add-phone', active: true });
+    await ensureStep8SignupPageReady(tabId, {
+      timeoutMs,
+      visibleStep,
+      logStepKey: options.logStepKey || 'phone-verification',
+      logMessage: options.logMessage || '步骤 9：认证页已失联，直接打开添加手机号页面后等待脚本恢复。',
+    });
+    return {
+      addPhonePage: true,
+      phoneVerificationPage: false,
+      url: 'https://auth.openai.com/add-phone',
+    };
+  },
   generateRandomBirthday,
   generateRandomName,
   getOAuthFlowRemainingMs,