feat(sidebar): show edition badge (Community / Cloud) in logo area

Add a small badge next to the LangBot name in the sidebar header that reflects
systemInfo.edition: a neutral "Community" badge for the community edition and a
blue "Cloud" badge for the cloud edition. Adds sidebar.editionCommunity /
sidebar.editionCloud across all 8 locales.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

web/src/app/home/components/home-sidebar/HomeSidebar.tsx

@@ -1801,7 +1801,21 @@ export default function HomeSidebar({
                   className="size-8 rounded-lg"
                 />
                 <div className="grid flex-1 text-left text-sm leading-tight">
-                  <span className="truncate font-semibold">LangBot</span>
+                  <div className="flex items-center gap-1.5">
+                    <span className="truncate font-semibold">LangBot</span>
+                    <Badge
+                      variant="secondary"
+                      className={`shrink-0 px-1 py-0 h-3.5 text-[0.55rem] font-medium ${
+                        systemInfo?.edition === 'cloud'
+                          ? 'border-transparent bg-blue-500 text-white hover:bg-blue-600'
+                          : ''
+                      }`}
+                    >
+                      {systemInfo?.edition === 'cloud'
+                        ? t('sidebar.editionCloud')
+                        : t('sidebar.editionCommunity')}
+                    </Badge>
+                  </div>
                   <div className="flex items-center gap-1.5">
                     <span className="truncate text-xs text-muted-foreground">
                       {systemInfo?.version}

web/src/i18n/locales/en-US.ts

@@ -10,6 +10,8 @@ const enUS = {
     pluginPagesTooltip: 'Visual pages provided by installed plugins',
     quickStart: 'Quick Start',
     scrollToBottom: 'Scroll to bottom',
+    editionCommunity: 'Community',
+    editionCloud: 'Cloud',
   },
   common: {
     login: 'Login',

web/src/i18n/locales/es-ES.ts

@@ -11,6 +11,8 @@ const esES = {
       'Páginas visuales proporcionadas por los plugins instalados',
     quickStart: 'Inicio rápido',
     scrollToBottom: 'Desplazar al final',
+    editionCommunity: 'Comunidad',
+    editionCloud: 'Nube',
   },
   common: {
     login: 'Iniciar sesión',

web/src/i18n/locales/ja-JP.ts

@@ -10,6 +10,8 @@ const jaJP = {
     pluginPagesTooltip: 'インストール済みプラグインが提供するビジュアルページ',
     quickStart: 'クイックスタート',
     scrollToBottom: '一番下までスクロール',
+    editionCommunity: 'コミュニティ版',
+    editionCloud: 'クラウド版',
   },
   common: {
     login: 'ログイン',

web/src/i18n/locales/ru-RU.ts

@@ -11,6 +11,8 @@ const ruRU = {
       'Визуальные страницы, предоставляемые установленными плагинами',
     quickStart: 'Быстрый старт',
     scrollToBottom: 'Прокрутить вниз',
+    editionCommunity: 'Сообщество',
+    editionCloud: 'Облако',
   },
   common: {
     login: 'Войти',

web/src/i18n/locales/th-TH.ts

@@ -10,6 +10,8 @@ const thTH = {
     pluginPagesTooltip: 'หน้าเว็บที่จัดทำโดยปลั๊กอินที่ติดตั้ง',
     quickStart: 'เริ่มต้นอย่างรวดเร็ว',
     scrollToBottom: 'เลื่อนไปด้านล่าง',
+    editionCommunity: 'รุ่นชุมชน',
+    editionCloud: 'รุ่นคลาวด์',
   },
   common: {
     login: 'เข้าสู่ระบบ',

web/src/i18n/locales/vi-VN.ts

@@ -11,6 +11,8 @@ const viVN = {
       'Các trang trực quan được cung cấp bởi plugin đã cài đặt',
     quickStart: 'Bắt đầu nhanh',
     scrollToBottom: 'Cuộn xuống cuối',
+    editionCommunity: 'Bản cộng đồng',
+    editionCloud: 'Bản đám mây',
   },
   common: {
     login: 'Đăng nhập',

web/src/i18n/locales/zh-Hans.ts

@@ -10,6 +10,8 @@ const zhHans = {
     pluginPagesTooltip: '由已安装的插件提供的可视化页面',
     quickStart: '快速开始向导',
     scrollToBottom: '滚动到底部',
+    editionCommunity: '社区版',
+    editionCloud: '云版',
   },
   common: {
     login: '登录',

web/src/i18n/locales/zh-Hant.ts

@@ -10,6 +10,8 @@ const zhHant = {
     pluginPagesTooltip: '由已安裝的插件提供的視覺化頁面',
     quickStart: '快速開始',
     scrollToBottom: '捲動到底部',
+    editionCommunity: '社區版',
+    editionCloud: '雲端版',
   },
   common: {
     login: '登入',