Add badge drag & drop system for InfoStand and inventory

- Drag & drop badges between slots in InfoStand (own user only)
- Mini badge picker on empty slot click with search
- Swap badges between occupied slots
- Hover animation (scale, glow) on badge slots
- Configurable group slot (user.badges.group.slot.enabled)
- Support for 6 badge slots when group slot disabled
- Race condition fix with localChangeRef
- Fixed-size array logic to prevent badge disappearing

Co-Authored-By: medievalshell <medievalshell@users.noreply.github.com>

public/ui-config.json

@@ -1,4 +1,7 @@
 {
+    "external.plugins": [
+        "plugins/room-builder.js"
+    ],
     "image.library.notifications.url": "${image.library.url}notifications/%image%.png",
     "achievements.images.url": "${image.library.url}Quests/%image%.png",
     "camera.url": "/swf/usercontent/camera/",
@@ -10,7 +13,8 @@
     "chat.viewer.height.percentage": 0.4,
     "widget.dimmer.colorwheel": false,
     "avatar.wardrobe.max.slots": 10,
-    "user.badges.max.slots": 5,
+    "user.badges.max.slots": 6,
+    "user.badges.group.slot.enabled": false,
     "user.tags.enabled": false,
     "camera.publish.disabled": false,
     "hc.disabled": false,