feat(user): 重构用户端竞赛流程，集成后端API并优化交互体验

- 新增 `activityinfo` store 管理活动信息，支持持久化
- 重构 `competition` store，分离数据层与流程控制，新增音效管理
- 新增游戏API模块 (`game.ts`)，实现抽题、题目详情、提交结果等接口
- 用户端页面全面对接后端数据：首页轮播展示活动列表，组别/队伍页动态加载，封面页显示题目卡片
- 抽题页改为竹签翻转动画，游戏页集成题目详情与倒计时
- 优化布局组件，支持点击返回首页，统一路由参数传递
- 更新类型定义，支持富文本题目渲染
- 添加 `activityinfo` 拼写检查词条

apps/admin/src/typings/api/Competition.d.ts

@@ -75,6 +75,26 @@ declare namespace Api {
       Name: string
     }
 
+    /** question add params */
+    interface QuestionAddParams {
+      RoomID: number
+      MainID: number
+      TeamGroupID: number
+      QuestionID: number
+      QuestionDetaiID: number
+    }
+
+    interface QuestionListDetailRound {
+      /** 题目 id */
+      Id: number
+      Name: string
+      Answers: string
+      QuestionId: number
+      IsGood: number
+      Image: string
+      ImageUrl: string
+    }
+
     /** activity detail */
     interface ActivityDetail {
       /** 背景图片 */

apps/admin/src/typings/app.d.ts

@@ -198,7 +198,7 @@ declare namespace App {
 
     /** The router push options */
     interface RouterPushOptions {
-      query?: Record<string, string>
+      query?: Record<string, string | number>
       params?: Record<string, string>
     }
 

apps/admin/src/typings/components.d.ts

@@ -59,6 +59,7 @@ declare module 'vue' {
     IconIcOutlineTitle: typeof import('~icons/ic/outline-title')['default']
     IconIcRoundAccessTime: typeof import('~icons/ic/round-access-time')['default']
     IconIcRoundArrowBack: typeof import('~icons/ic/round-arrow-back')['default']
+    IconIcRoundArrowForward: typeof import('~icons/ic/round-arrow-forward')['default']
     IconIcRoundArrowLeft: typeof import('~icons/ic/round-arrow-left')['default']
     IconIcRoundArrowRight: typeof import('~icons/ic/round-arrow-right')['default']
     IconIcRoundDelete: typeof import('~icons/ic/round-delete')['default']
@@ -227,6 +228,7 @@ declare global {
   const IconIcOutlineTitle: typeof import('~icons/ic/outline-title')['default']
   const IconIcRoundAccessTime: typeof import('~icons/ic/round-access-time')['default']
   const IconIcRoundArrowBack: typeof import('~icons/ic/round-arrow-back')['default']
+  const IconIcRoundArrowForward: typeof import('~icons/ic/round-arrow-forward')['default']
   const IconIcRoundArrowLeft: typeof import('~icons/ic/round-arrow-left')['default']
   const IconIcRoundArrowRight: typeof import('~icons/ic/round-arrow-right')['default']
   const IconIcRoundDelete: typeof import('~icons/ic/round-delete')['default']