diff --git a/app/layout.tsx b/app/layout.tsx
index 28041a8..e0b0340 100644
--- a/app/layout.tsx
+++ b/app/layout.tsx
@@ -83,7 +83,7 @@ export default async function RootLayout({ children }) {
           docsRepositoryBase="https://github.com/Trance-0/NoteNextra/tree/main"
           sidebar={{ defaultMenuCollapseLevel: 1 }}
           pageMap={pageMap}
-          // TODO: fix algolia search
+          // TODO: fix local search with distributed search index over containers
           search={<AlgoliaSearch/>}
         >
           {children}
diff --git a/components/docsearch.tsx b/components/docsearch.tsx
index 6fff87a..4dadb93 100644
--- a/components/docsearch.tsx
+++ b/components/docsearch.tsx
@@ -7,8 +7,8 @@ import {useTheme} from 'next-themes';
 import '@docsearch/css';
 
 function AlgoliaSearch () {
-  const {theme} = useTheme();
-  const darkMode = theme === 'dark';
+  const {theme, systemTheme} = useTheme();
+  const darkMode = theme === 'dark' || (theme === 'system' && systemTheme === 'dark');
   // console.log("darkMode", darkMode);
   return (
     <DocSearch
@@ -16,6 +16,22 @@ function AlgoliaSearch () {
       indexName={process.env.NEXT_SEARCH_ALGOLIA_INDEX_NAME || 'notenextra_trance_0'}
       apiKey={process.env.NEXT_SEARCH_ALGOLIA_API_KEY || '727b389a61e862e590dfab9ce9df31a2'}
       theme={darkMode===false ? 'light' : 'dark'}
+      // this is the first time that AI is solving some problem that I have no idea how to solve
+      // BEGIN OF CODE GENERATED BY AI
+      transformItems={(items) =>
+        // DocSearch lets you sanitize results before render. Filter out hits that don’t have a URL and give lvl0 a safe fallback.
+        items
+          .filter((i) => typeof i.url === 'string' && i.url) // drop records with null/empty url
+          .map((i) => ({
+            ...i,
+            hierarchy: {
+              ...i.hierarchy,
+              // ensure strings for all places DocSearch prints text
+              lvl0: i.hierarchy?.lvl0 ?? i.hierarchy?.lvl1 ?? 'Documentation',
+            },
+          }))
+      }
+      // END OF CODE GENERATED BY AI
     />
   );
 }
diff --git a/package.json b/package.json
index 6714dcb..bd64197 100644
--- a/package.json
+++ b/package.json
@@ -8,25 +8,25 @@
     "start": "next start"
   },
   "dependencies": {
-    "@docsearch/css": "^4.2.0",
-    "@docsearch/react": "^4.2.0",
+    "@docsearch/css": "^4.3.1",
+    "@docsearch/react": "^4.3.1",
     "@napi-rs/simple-git": "^0.1.22",
-    "@next/bundle-analyzer": "^15.3.5",
+    "@next/bundle-analyzer": "^16.0.1",
     "@vercel/analytics": "^1.5.0",
     "@vercel/speed-insights": "^1.2.0",
-    "cross-env": "^7.0.3",
+    "cross-env": "^10.1.0",
     "eslint-config-next": "^16.0.1",
-    "katex": "^0.16.22",
+    "katex": "^0.16.25",
     "next": "^16.0.1",
     "next-sitemap": "^4.2.3",
-    "nextra": "^4.2.17",
-    "nextra-theme-docs": "^4.2.17",
+    "nextra": "^4.6.0",
+    "nextra-theme-docs": "^4.6.0",
     "pagefind": "^1.4.0",
     "react": "^19.2.0",
     "react-dom": "^19.2.0"
   },
   "devDependencies": {
-    "@types/node": "24.0.10",
-    "@types/react": "19.1.8"
+    "@types/node": "24.10.0",
+    "@types/react": "19.2.2"
   }
 }