remove the desktop-pet system

The pet feature was three loosely coupled subsystems that no core flow
depended on: the Petdex catalog page, the pet install/preference store, and
the pet-state socket. All three are removed.

The only cross-boundary touch point was a try/catch-wrapped observer that
mapped chat-run events to pet animations. Removing it leaves the /chat-run
event contract unchanged: no event name, field name, field type, or emission
timing changed.

Removing petdexPublicRoutes also closes the unauthenticated outbound proxy
at /api/hermes/petdex/asset, which shrinks the SSRF surface.

packages/client/src/i18n/locales/en.ts

@@ -208,7 +208,6 @@ export default {
     skills: 'Skills',
     plugins: 'Plugins',
     mcp: 'MCP',
-    petdex: 'Pets',
     memory: 'Memory',
     logs: 'Logs',
     usage: 'Usage',
@@ -1191,29 +1190,6 @@ export default {
     },
   },
 
-  petdex: {
-    title: 'Petdex Pets',
-    subtitle: 'Browse the public petdex catalog used by Hermes pets.',
-    refresh: 'Refresh',
-    adopt: 'Adopt',
-    active: 'Active',
-    adopted: 'Adopted {name}',
-    adoptFailed: 'Failed to adopt pet',
-    loadFailed: 'Failed to load petdex catalog',
-    searchPlaceholder: 'Search by name, slug, author, or kind',
-    kindFilter: 'Kind',
-    spritesheet: 'Spritesheet',
-    submittedBy: 'By {name}',
-    empty: 'No pets match the current filters.',
-    showMore: 'Show {count} more',
-    summary: {
-      total: 'Catalog total',
-      visible: 'Matching',
-      kinds: 'Kinds',
-      generatedAt: 'Generated at',
-    },
-  },
-
   // Memory
   memory: {
     title: 'Memory',

packages/client/src/i18n/locales/zh.ts

@@ -207,7 +207,6 @@ export default {
     profiles: '用户',
     plugins: '插件',
     mcp: 'MCP',
-    petdex: '宠物',
     skills: '技能',
     memory: '记忆',
     logs: '日志',
@@ -1191,29 +1190,6 @@ export default {
     },
   },
 
-  petdex: {
-    title: 'Petdex 宠物',
-    subtitle: '浏览 Hermes 桌宠使用的 petdex 公共图库。',
-    refresh: '刷新',
-    adopt: '领取',
-    active: '使用中',
-    adopted: '已领取 {name}',
-    adoptFailed: '领取宠物失败',
-    loadFailed: '加载 petdex 图库失败',
-    searchPlaceholder: '按名称、slug、作者或类型搜索',
-    kindFilter: '类型',
-    spritesheet: '精灵图',
-    submittedBy: '作者 {name}',
-    empty: '没有符合当前筛选的宠物。',
-    showMore: '再显示 {count} 个',
-    summary: {
-      total: '图库总数',
-      visible: '匹配数量',
-      kinds: '类型数',
-      generatedAt: '生成时间',
-    },
-  },
-
   // 记忆
   memory: {
     title: '记忆',