feat: Implement player reconnection logic and auto-pick functionality for disconnected players during draft.

docs/development/devlog/2025-12-16-191500_reconnection_and_autopick.md

@@ -0,0 +1,21 @@
+# 2025-12-16 - Reconnection and Auto-Pick
+
+## Reconnection Logic
+- Use `localStorage.setItem('active_room_id', roomId)` in `LobbyManager` to persist connection state.
+- Upon page load, if a saved room ID exists, attempted to automatically reconnect via `rejoin_room` socket event.
+- Updated `socket.on('join_room')` and `rejoin_room` on the server to update the player's socket ID mapping, canceling any pending "disconnect" timers.
+
+## Disconnection Handling
+- Updated `RoomManager` to track `socketId` and `isOffline` status for each player.
+- In `index.ts`, `socket.on('disconnect')`:
+  - Marks player as offline.
+  - Starts a **30-second timer**.
+  - If timer expires (user did not reconnect):
+    - Triggers `draftManager.autoPick(roomId, playerId)`.
+    - `autoPick` selects a random card from the active pack to unblock the draft flow.
+
+## Auto-Pick Implementation
+- Added `autoPick` to `DraftManager`:
+  - Checks if player has an active pack.
+  - Selects random index.
+  - Calls `pickCard` internally to process the pick (add to pool, pass pack, etc.).