Fix notification badge delay

The first time we retrieve the notifications list the notifications count badge is not updated until the first status poll is done.
This should update the badge right away the first time and then relay on the status count afterwards.

client/src/stores/notificationsStore.ts

@@ -37,6 +37,7 @@ export const useNotificationsStore = defineStore("notificationsStore", () => {
                 loadingNotifications.value = true;
                 await broadcastsStore.loadBroadcasts();
                 await loadNotifications();
+                updateUnreadCount();
             } else {
                 const data = await loadNotificationsStatus(lastNotificationUpdate.value);
                 totalUnreadCount.value = data.total_unread_count;
@@ -78,6 +79,10 @@ export const useNotificationsStore = defineStore("notificationsStore", () => {
         return updateBatchNotification({ notification_ids: [notification.id], changes });
     }
 
+    function updateUnreadCount() {
+        totalUnreadCount.value = notifications.value.filter((n) => !n.seen_time).length;
+    }
+
     return {
         notifications,
         totalUnreadCount,