fix: sync running state on LiveView remount from latest run API

- On remount, check getLatestRun().running to sync stop button visibility
- Prevents stop button disappearing after page navigation

Author: piotrlaczkowski

cmd/slmcode/ui/index.html

@@ -8,7 +8,7 @@
     <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin />
     <link href="https://fonts.googleapis.com/css2?family=Inter:wght@300;400;500;600;700&family=JetBrains+Mono:wght@400;500;600&display=swap" rel="stylesheet" />
     <link rel="icon" type="image/svg+xml" href="data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 32 32'><rect width='32' height='32' rx='6' fill='%237c3aed'/><text x='16' y='22' font-family='system-ui' font-weight='700' font-size='18' fill='white' text-anchor='middle'>SL</text></svg>" />
-    <script type="module" crossorigin src="/assets/index-DWO3q2io.js"></script>
+    <script type="module" crossorigin src="/assets/index-kJfYT4q1.js"></script>
     <link rel="stylesheet" crossorigin href="/assets/index-A47pACXv.css">
   </head>
   <body class="antialiased">

web/src/components/Live/LiveView.tsx

@@ -143,7 +143,11 @@ export default function LiveView() {
 
   useEffect(() => {
     connectSSE();
-    getLatestRun().then(setResult).catch(() => {});
+    // Sync running state from latest run on remount
+    getLatestRun().then((r) => {
+      setResult(r);
+      if (!r.running && r.result) setRunning(false);
+    }).catch(() => {});
     return () => {
       eventSource.current?.close();
     };