fix(build): compiled binary missing @modelcontextprotocol/sdk modules

shadcn (web devDependency) pulled a second peer copy of
@modelcontextprotocol/[email protected].1 (zod@3), so the server's zod@4 copy
lived in the npm cache as sdk/1.30.1_1. `deno compile --exclude-unused-npm`
embeds that _1 folder but the pruned snapshot resolves it as sdk/1.30.1,
so every SDK import failed at startup with ERR_MODULE_NOT_FOUND.

- drop the shadcn CLI dependency; vendor its tailwind.css (the only
  runtime use) as apps/web/app/shadcn-tailwind.css, removing the duplicate
- scripts/check-compiled-binary.sh: run the compiled binary with an empty
  env and `--role preflight`; it must load the full module graph and exit 2
  on config validation. Wired into `deno task ci` (check:binary) and the
  Dockerfile build stage.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

apps/web/app/shadcn-tailwind.css

@@ -0,0 +1,100 @@
+/* 取自 npm:[email protected] dist/tailwind.css(MIT),原样内置。
+   不再把 shadcn CLI 列为依赖:它经 zod@3 拉出第二份 @modelcontextprotocol/sdk(peer 变体),
+   deno compile --exclude-unused-npm 会按裁剪后的快照找 sdk/1.30.1、实际嵌入的是 sdk/1.30.1_1,编译产物启动即缺模块。
+   加组件用 deno run -A --no-lock npm:[email protected] add <name>,不要写进锁文件。 */
+
+@theme inline {
+  @keyframes accordion-down {
+    from {
+      height: 0;
+    }
+    to {
+      height: var(
+        --radix-accordion-content-height,
+        var(--accordion-panel-height, auto)
+      );
+    }
+  }
+
+  @keyframes accordion-up {
+    from {
+      height: var(
+        --radix-accordion-content-height,
+        var(--accordion-panel-height, auto)
+      );
+    }
+    to {
+      height: 0;
+    }
+  }
+}
+
+/* Custom variants */
+@custom-variant data-open {
+  &:where([data-state="open"]),
+  &:where([data-open]:not([data-open="false"])) {
+    @slot;
+  }
+}
+
+@custom-variant data-closed {
+  &:where([data-state="closed"]),
+  &:where([data-closed]:not([data-closed="false"])) {
+    @slot;
+  }
+}
+
+@custom-variant data-checked {
+  &:where([data-state="checked"]),
+  &:where([data-checked]:not([data-checked="false"])) {
+    @slot;
+  }
+}
+
+@custom-variant data-unchecked {
+  &:where([data-state="unchecked"]),
+  &:where([data-unchecked]:not([data-unchecked="false"])) {
+    @slot;
+  }
+}
+
+@custom-variant data-selected {
+  &:where([data-selected="true"]) {
+    @slot;
+  }
+}
+
+@custom-variant data-disabled {
+  &:where([data-disabled="true"]),
+  &:where([data-disabled]:not([data-disabled="false"])) {
+    @slot;
+  }
+}
+
+@custom-variant data-active {
+  &:where([data-state="active"]),
+  &:where([data-active]:not([data-active="false"])) {
+    @slot;
+  }
+}
+
+@custom-variant data-horizontal {
+  &:where([data-orientation="horizontal"]) {
+    @slot;
+  }
+}
+
+@custom-variant data-vertical {
+  &:where([data-orientation="vertical"]) {
+    @slot;
+  }
+}
+
+@utility no-scrollbar {
+  -ms-overflow-style: none;
+  scrollbar-width: none;
+
+  &::-webkit-scrollbar {
+    display: none;
+  }
+}