fix(nav): header publish menu + userbox card polish

Unpaint multi-type 发布 wrapper, fix light-menu ink, avatar unread
dot clipping, check-in REST double namespace, and user-card VIP/check-in layout.

assets/js/messages.js

@@ -135,11 +135,18 @@
       badge.style.display = nextUnread > 0 ? '' : 'none';
     });
 
-    var headerBadge = document.querySelector('.user-dropdown__badge') || document.querySelector('.aksrt-notification-badge');
+    // Numeric badge inside the user dropdown only — never target the pure avatar
+    // .nav-user__dot.aksrt-notification-badge (no textContent on a dot indicator).
+    var headerBadge = document.querySelector('.user-dropdown__badge');
     if (headerBadge) {
       headerBadge.textContent = String(nextUnread);
       headerBadge.style.display = nextUnread > 0 ? '' : 'none';
     }
+
+    var avatarDot = document.querySelector('.nav-user__dot');
+    if (avatarDot) {
+      avatarDot.style.display = nextUnread > 0 ? '' : 'none';
+    }
   }
 
   function checkEmpty() {