feat: add Admin Control Panel, voting status check, and router security

Admin Control Panel:
- Add full AdminControl.vue with 3 sections (Voting, Lottery, Global)
- Add AdminLogin.vue with access code gate (20268888)
- Add admin.ts store with state persistence
- Add admin.types.ts with state machine types
- Add router guards for /admin/director-console

Voting System Fixes:
- Add voting status check before accepting votes (VOTING_CLOSED error)
- Fix client to display server error messages
- Fix button disabled logic to prevent ambiguity in paused state
- Auto-generate userId on connect to fix UNAUTHORIZED error

Big Screen Enhancements:
- Add LiveVotingView.vue with particle system
- Add LotteryMachine.ts with 3-stage animation (Galaxy/Storm/Reveal)
- Add useSocketClient.ts composable
- Fix MainDisplay.vue SCSS syntax error
- Add admin state sync listener in display store

Server Updates:
- Add admin.service.ts for state management
- Add isVotingOpen() and getVotingStatus() methods
- Add admin socket event handlers

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

packages/client-mobile/src/router/index.ts

@@ -13,11 +13,6 @@ const router = createRouter({
       name: 'vote',
       component: () => import('../views/VoteView.vue'),
     },
-    {
-      path: '/vote/:category',
-      name: 'vote-category',
-      component: () => import('../views/VoteCategoryView.vue'),
-    },
     {
       path: '/result',
       name: 'result',