style: update overlay component styles for improved layout and visual consistency

client/app/overlay/page.tsx

@@ -2,8 +2,6 @@
 
 import { useEffect, useState, useRef } from 'react';
 import type { ChatMessage } from '@shared/chat';
-import { useTimezone } from '../../lib/TimezoneContext';
-import { formatTimestamp } from '../../lib/timezone';
 import { proxyImageUrl } from '../../lib/imageProxy';
 
 const BACKEND_URL = process.env.NEXT_PUBLIC_BACKEND_URL ?? 'http://localhost:4100';
@@ -17,7 +15,6 @@ export default function OverlayPage() {
   const [connected, setConnected] = useState(false);
   const [fadingOut, setFadingOut] = useState(false);
   const connectionRef = useRef<EventSource | null>(null);
-  const { timezone } = useTimezone();
 
   useEffect(() => {
     // Prevent multiple connections
@@ -147,7 +144,6 @@ export default function OverlayPage() {
                         </span>
                       )
                     ))}
-                    <time className="overlay__timestamp">{formatTimestamp(message.publishedAt, timezone)}</time>
                   </div>
                 </div>
               </div>