chore: update live chat and work server changes

src/app/main/routes.tsx

@@ -5,7 +5,7 @@ import type { ReactNode } from 'react';
 import type { PlanFilterStatus } from '../../features/planBoard';
 
 export type TopMenuKey = 'docs' | 'apis' | 'plans' | 'chat' | 'play';
-export type HeaderTopMenuKey = 'docs' | 'plans';
+export type HeaderTopMenuKey = 'docs' | 'plans' | 'play';
 export type ApiSectionKey = 'components' | 'widgets';
 export type PlanSectionKey =
   | PlanFilterStatus
@@ -385,6 +385,10 @@ export function resolveTopMenuPath(menu: HeaderTopMenuKey, currentDocsFolder: st
     return buildDocsPath(currentDocsFolder);
   }
 
+  if (menu === 'play') {
+    return buildPlayPath('layout');
+  }
+
   return buildPlansPath('all');
 }