refactor(site): [SITE-CONSOLE-01] restore typed console and lifecycle ownership

scripts/site-vendor/console/runtime/errors.ts

@@ -0,0 +1,17 @@
+export function errorArgument(value: unknown): unknown {
+  try {
+    if (Object.prototype.toString.call(value) !== '[object Error]')
+      return value
+    const error = value as Error
+    const stack = error.stack
+    const message = error.message
+    if (typeof stack !== 'string' || !message)
+      return value
+    const header = error.name ? `${error.name}: ${message}` : message
+    return stack.startsWith(header) ? value : `${header}\n${stack}`
+  }
+  catch {
+    // Keep the legacy parser's behavior for unusual throwing Error getters.
+    return value
+  }
+}