fix public work detail not found recovery

src/routing/runtimeNotFoundRecovery.test.ts

@@ -1,6 +1,9 @@
 import { expect, test } from 'vitest';
 
-import { resolveRuntimeNotFoundRecoveryAction } from './runtimeNotFoundRecovery';
+import {
+  resolveRuntimeNotFoundRecoveryAction,
+  resolveWorkNotFoundRecoveryAction,
+} from './runtimeNotFoundRecovery';
 
 test('runtime not found recovery returns home after direct runtime route alert', () => {
   expect(resolveRuntimeNotFoundRecoveryAction('/runtime/puzzle')).toEqual({
@@ -19,3 +22,21 @@ test('runtime not found recovery only handles direct runtime routes', () => {
   expect(resolveRuntimeNotFoundRecoveryAction('/gallery/puzzle/detail')).toBeNull();
   expect(resolveRuntimeNotFoundRecoveryAction('/creation/puzzle/result')).toBeNull();
 });
+
+test('work not found recovery returns home for direct public detail routes', () => {
+  expect(resolveWorkNotFoundRecoveryAction('/works/detail')).toEqual({
+    nextStage: 'platform',
+    nextPath: '/',
+    shouldAlert: true,
+  });
+  expect(resolveWorkNotFoundRecoveryAction('/works/detail/')).toEqual({
+    nextStage: 'platform',
+    nextPath: '/',
+    shouldAlert: true,
+  });
+  expect(resolveWorkNotFoundRecoveryAction('/gallery/puzzle/detail')).toEqual({
+    nextStage: 'platform',
+    nextPath: '/',
+    shouldAlert: true,
+  });
+});