test(auth): cover PSID external entry login

src/app/external-entry/external-entry-persist.tsx

@@ -44,6 +44,7 @@ export default function ExternalEntryPersist({
   const authDispatch = useAuthDispatch();
   const [hasPersisted, setHasPersisted] = useState(false);
   const hasNavigatedRef = useRef(false);
+  const hasReinitializedForPsidRef = useRef(false);
   const targetRoute = resolveExternalEntryTarget({ target });
   const destination = resolveExternalEntryDestination({ target });
   const resolvedPromotionType = resolveExternalEntryPromotionType({
@@ -94,6 +95,16 @@ export default function ExternalEntryPersist({
 
   useEffect(() => {
     if (hasNavigatedRef.current || !hasPersisted) return;
+
+    // AuthStatusChecker can initialize before this entry has persisted PSID.
+    // Re-run the check so PSID direct login is not skipped by that race.
+    if (hasValue(psid) && !hasReinitializedForPsidRef.current) {
+      if (!authState.hasInitialized || authState.isLoading) return;
+      hasReinitializedForPsidRef.current = true;
+      authDispatch({ type: "AuthInit" });
+      return;
+    }
+
     if (!authState.hasInitialized || authState.isLoading) return;
     hasNavigatedRef.current = true;
 
@@ -138,3 +149,7 @@ export default function ExternalEntryPersist({
     </div>
   );
 }
+
+function hasValue(value: string | null): value is string {
+  return typeof value === "string" && value.trim().length > 0;
+}