Refactor draft app with improved state management and components

* Rename WebSocket message types for better organization
* Improve state handling with dedicated methods like broadcast_state
* Restructure frontend components and remove unused code

draft_cache.json

@@ -0,0 +1,21 @@
+{
+  "participants": [
+    "Alice",
+    "Bob"
+  ],
+  "phase": "nominating",
+  "draft_order": [
+    "Bob",
+    "Alice"
+  ],
+  "draft_index": 0,
+  "current_movie": "The Matrix",
+  "bids": [
+    {
+      "Alice": 10
+    },
+    {
+      "Bob": 12
+    }
+  ]
+}