chore: settle product naming across app, widget and deployments

One word everywhere: ReplyPier in UI copy, package and image names, the
replypier.site domains (app/api/docs/help), REPLYPIER_* settings and the
--rp-* design tokens.

- public widget API is window.ReplyPier with replypierId / replypierBaseUrl /
  replypierConfig / replypierToken, loader at webclient/replypier.min.js;
  both bundles rebuilt from source
- NOTICE, llms.txt, CONTRIBUTING, HELP_CENTER_INFRA and the demo runtime
  config rewritten; the demo config ships no third-party keys
- migration adds the ReplyPier managed model value to the AI model enum
- local compose project, database, role, volume and Docker network carry the
  same name

deploy/server/README.md

@@ -9,7 +9,7 @@
 1. 为服务器创建专用 SSH 密钥，将**公钥**添加为 Gitea 仓库的只读部署密钥；私钥留在 `/etc/replypier-updater/id_ed25519`，权限 `600`。通过可信渠道核实 Gitea 主机公钥并保存为同目录的 `known_hosts`。更新过程不使用账号密码或浏览器登录态。
 2. 按 `config.example.json` 准备私有配置，填写当前安装提交和部署管理员用户 UUID。只有名单中的用户且持有 `super_admin` 权限才能更新；其他组织的管理员无权更新整个服务器。配置和 SSH 私钥不入库。
 3. 以 root 执行 `./deploy/server/install-updater.sh /path/to/config.json`，然后执行 `python3 /opt/replypier-updater/cli.py check`。安装不会重置应用环境或数据库。
-4. Caddy 对稳定文件名的入口返回 `Cache-Control: no-cache, no-store, must-revalidate`：`/sw.js`、`/manifest.webmanifest`、`/config.js`、`/assets/widget.js`、`/assets/widget.css`、`/webclient/chattermate.min.js`。首次设置后，清除 CDN 中这些 URL 的已有缓存；带内容版本号的构建资源可以正常缓存。不要缓存 HTML 入口。
+4. Caddy 对稳定文件名的入口返回 `Cache-Control: no-cache, no-store, must-revalidate`：`/sw.js`、`/manifest.webmanifest`、`/config.js`、`/assets/widget.js`、`/assets/widget.css`、`/webclient/replypier.min.js`。首次设置后，清除 CDN 中这些 URL 的已有缓存；带内容版本号的构建资源可以正常缓存。不要缓存 HTML 入口。
 
 ## 更新时发生什么
 

deploy/server/config.example.json

@@ -9,7 +9,7 @@
   "known_hosts": "/etc/replypier-updater/known_hosts",
   "owner_ids": ["REPLACE_WITH_DEPLOYMENT_OWNER_USER_ID"],
   "initial_revision": "REPLACE_WITH_INSTALLED_COMMIT",
-  "db_container": "chattermate-local-db-1",
-  "db_user": "chattermate",
-  "db_name": "chattermate"
+  "db_container": "replypier-local-db-1",
+  "db_user": "replypier",
+  "db_name": "replypier"
 }

deploy/server/updater/deployment.py

@@ -100,12 +100,12 @@ class Deployment:
             if len(styles) != 1:
                 raise RuntimeError('网站组件的样式构建结果不完整。')
             shutil.copy2(styles[0], stage / 'assets/widget.css')
-        loader = stage / 'dashboard/webclient/chattermate.min.js'
+        loader = stage / 'dashboard/webclient/replypier.min.js'
         loader.parent.mkdir(exist_ok=True)
-        self.run([str(front / 'node_modules/.bin/esbuild'), 'src/webclient/chattermate.js',
+        self.run([str(front / 'node_modules/.bin/esbuild'), 'src/webclient/replypier.js',
                   '--bundle', '--minify', '--format=iife', '--target=es2015', '--loader:.svg=text',
                   '--define:process.env.NODE_ENV="production"',
-                  '--define:__CHATTERMATE_API_URL__=' + json.dumps(self.cfg['public_url'] + '/api/v1'),
+                  '--define:__REPLYPIER_API_URL__=' + json.dumps(self.cfg['public_url'] + '/api/v1'),
                   '--outfile=' + str(loader)], cwd=front)
         # Runtime configuration belongs to this installation, not to the repository.
         live_web = self.root / 'deploy/local/.state/dashboard'