website: wire the site into the repo gates; make every tutorial example compile

- website joins the pnpm workspace; root scripts website:dev/website:build;
  run-gates gains a website-build gate (ci-primary + ci-static) — the
  VitePress build doubles as the site's dead-link check; AGENTS.md documents
  the commands.
- doc-typecheck + verify-type-equiv now scan website/zh-CN/**/*.md; every
  ```typescript fence converted to ```ts and made standalone-compilable
  (55 compiled, 1 ignore-check). Phantom APIs the compiler caught are fixed:
  invented event names (agent/turn-end, tool/call, llm/pre-request, ready,
  dispose) replaced with real catalog events or per-plugin declare-module
  merges; presentCall/inject/Config claims corrected to the real shapes.
- guide/config.md entry-fields table completed against loader EntryOptions;
  its coding-agent example brought in line with examples/coding-agent.

website/zh-CN/design/composability.md

@@ -55,16 +55,21 @@ Cordis 同时解决了上述两个问题：
 
 DeepSeek Harness 将 Cordis 的可组合性应用到 Agent 开发领域：
 
-```typescript
+```ts
+import type { Context } from 'cordis'
+import { defineTool } from '@deepseek-ai/dsh-tools'
+import type {} from '@deepseek-ai/dsh-llm'
+
 // 一个 Harness 插件天然是可逆的
 export const inject = ['tools', 'llm'] // 空间可组合：声明依赖
 
 export function apply(ctx: Context) {
   // 时间可组合：注册会被自动追踪和回收
-  ctx.tools.register(defineTool('my-tool', {
+  ctx.tools.register(defineTool({
+    name: 'my-tool',
     description: '...',
     parameters: { /* ... */ },
-    async execute(args) { /* ... */ },
+    async execute(args) { return [] },
   }))
 }
 ```