diff --git a/apps/web/package.json b/apps/web/package.json
index 48ce96c..761ac79 100644
--- a/apps/web/package.json
+++ b/apps/web/package.json
@@ -24,7 +24,7 @@
     "js-yaml": "^4.1.0",
     "jszip": "^3.10.1",
     "katex": "^0.17.0",
-    "next": "16.2.6",
+    "next": "16.2.7",
     "react": "19.2.6",
     "react-dom": "19.2.6",
     "rehype-katex": "^7.0.1",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 30dad72..2f64cd8 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -87,8 +87,8 @@ importers:
         specifier: ^0.17.0
         version: 0.17.0
       next:
-        specifier: 16.2.6
-        version: 16.2.6(@babel/core@7.29.7)(react-dom@19.2.6(react@19.2.6))(react@19.2.6)
+        specifier: 16.2.7
+        version: 16.2.7(@babel/core@7.29.7)(react-dom@19.2.6(react@19.2.6))(react@19.2.6)
       react:
         specifier: 19.2.6
         version: 19.2.6
@@ -1043,56 +1043,56 @@ packages:
       '@emnapi/core': ^1.7.1
       '@emnapi/runtime': ^1.7.1
 
-  '@next/env@16.2.6':
-    resolution: {integrity: sha512-gd8HoHN4ufj73WmR3JmVolrpJR47ILK6LouP5xElPglaVxir6e1a7VzvTvDWkOoPXT9rkkTzyCxBu4yeZfZwcw==}
+  '@next/env@16.2.7':
+    resolution: {integrity: sha512-tMJizPlj6ZYpBMMdK8S0LJufrP4QTdR6pcv9KQ/bVETPAmg0j1mlHE9G2c38UyGHxoBapgwuj7XjbGJ2RcDFOg==}
 
   '@next/eslint-plugin-next@16.2.6':
     resolution: {integrity: sha512-Z8l6o4JWKUl755x4R+wogD86KPeU+Ckw4K+SYG4kHeOJtRenDeK+OSbGcqZpDtbwn9DsJVdir2UxmwXuinUbUw==}
 
-  '@next/swc-darwin-arm64@16.2.6':
-    resolution: {integrity: sha512-ZJGkkcNfYgrrMkqOdZ7zoLa1TOy0qpcMfk/z4Mh/FKUz40gVO+HNQWqmLxf67Z5WB64DRp0dhEbyHfel+6sJUg==}
+  '@next/swc-darwin-arm64@16.2.7':
+    resolution: {integrity: sha512-vm1EDI/pVaBNNiychmxk3fft+OhQPVD9cIM/tReLZIQ3TfQ4kqI9DwKk00dzuS1ulC7icbrzCFrmRRlk9PfNdw==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [darwin]
 
-  '@next/swc-darwin-x64@16.2.6':
-    resolution: {integrity: sha512-v/YLBHIY132Ced3puBJ7YJKw1lqsCrgcNo2aRJlCEyQrrCeRJlvGlnmxhPxNQI3KE3N1DN5r9TPNPvka3nq5RQ==}
+  '@next/swc-darwin-x64@16.2.7':
+    resolution: {integrity: sha512-O3IRSv1ZBL1zs0WrIgefTEcTKFVn+ryxBNe54erJ6KsD+2f/Mmt7g2jOYh8PSBdUwPtKQJuCsTMlZ7tIu2AcsQ==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [darwin]
 
-  '@next/swc-linux-arm64-gnu@16.2.6':
-    resolution: {integrity: sha512-RPOvqlYBbcQjkz9VQQDZ2T2bARIjXZV1KFlt+V2Mr6SW/e4I9fcKsaA0hdyf2FHoTlsV2xnBd5Y912rP/1Ce6w==}
+  '@next/swc-linux-arm64-gnu@16.2.7':
+    resolution: {integrity: sha512-Re6PZtjBDd0aMU+VcZcC/PrIvj4WhrjDYtMhhCVQamWN4L90EVP0pcEOBQD25prSlw7OzNw5QpHLWMilRLsRNw==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [linux]
 
-  '@next/swc-linux-arm64-musl@16.2.6':
-    resolution: {integrity: sha512-URUTu1+dMkxJsPFgm+OeEvq9wf5sujw0EvgYy80TDGHTSLTnIHeqb0Eu8A3sC95IRgjejQL+kC4mw+4yPxiAXA==}
+  '@next/swc-linux-arm64-musl@16.2.7':
+    resolution: {integrity: sha512-qyogG9QtBzWxgJfeGBvOEHI3851gTfCF3wLZ5RDLTBJGAmE9p1qDwKCOdrBrvBzRvYDT+gUDp72pzlSEfAXgNA==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [linux]
 
-  '@next/swc-linux-x64-gnu@16.2.6':
-    resolution: {integrity: sha512-DOj182mPV8G3UkrayLoREM5YEYI+Dk5wv7Ox9xl1fFibAELEsFD0lDPfHIeILlutMMfdyhlzYPELG3peuKaurw==}
+  '@next/swc-linux-x64-gnu@16.2.7':
+    resolution: {integrity: sha512-Vhe4ZDuBpmMogrGi5D4R2Kq4JAQlj6+wvgaFYy31zfES0zPmt6TLA+cuYpM/OLrPZjo2MYQTHVqNUSCR6+fDZQ==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [linux]
 
-  '@next/swc-linux-x64-musl@16.2.6':
-    resolution: {integrity: sha512-HKQ5SP/V/ub73UvF7n/zeJlxk2kLmtL7Wzrg4WfmkjmNos5onJ2tKu7yZOPdL18A6Svfn3max29ym+ry7NkK4g==}
+  '@next/swc-linux-x64-musl@16.2.7':
+    resolution: {integrity: sha512-srvian89JahFLw1YLBEuhvPJ0DO5lpUeJQMXy4xYo7g628ZlNgXdNkqoxSAv9OYrBfByh6vxISMwW/mRbzCY+g==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [linux]
 
-  '@next/swc-win32-arm64-msvc@16.2.6':
-    resolution: {integrity: sha512-LZXpTlPyS5v7HhSmnvsLGP3iIYgYOBnc8r8ArlT55sGHV89bR2HlDdBjWQ+PY6SJMmk8TuVGFuxalnP3k/0Dwg==}
+  '@next/swc-win32-arm64-msvc@16.2.7':
+    resolution: {integrity: sha512-GX3wvLpULFuRFJzwHaKfm7QZJ18F4ZSuxlPJ96BoBglCzBmdSjyeBKF+ZhWhvL/ckxNfLnNa7bsObO2ipYpszw==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [win32]
 
-  '@next/swc-win32-x64-msvc@16.2.6':
-    resolution: {integrity: sha512-F0+4i0h9J6C4eE3EAPWsoCk7UW/dbzOjyzxY0qnDUOYFu6FFmdZ6l97/XdV3/Nz3VYyO7UWjyEJUXkGqcoXfMA==}
+  '@next/swc-win32-x64-msvc@16.2.7':
+    resolution: {integrity: sha512-J4WlM72NMk076Qsg0jTdK3SNXatlSdnjW7L7oNGLst1tAGjHrJh/FYi+pw9wyIjEtGRKDNzD0zuiY16oWYWVaw==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [win32]
@@ -1854,8 +1854,8 @@ packages:
     resolution: {integrity: sha512-BLrgEcRTwX2o6gGxGOCNyMvGSp35YofuYzw9h1IMTRmKqttAZZVU67bdb9Pr2vUHA8+j3i2tJfjO6C6+4myGTA==}
     engines: {node: 18 || 20 || >=22}
 
-  baseline-browser-mapping@2.10.32:
-    resolution: {integrity: sha512-wbPvpyjJPC0zdfdKXxqEL3Ea+bOMD/87X4lftiJkkaBiuG6ALQy1SLmEd7BSmVCuwCQsBrCamgBoLyfFDD1EPg==}
+  baseline-browser-mapping@2.10.33:
+    resolution: {integrity: sha512-bA6+tcSLpz2tIEdDXZPpPTIuxBcC4+w6SieaYyfigIa4h8GlFxbA17v22Vx3JUtuZQj9SgOsnbK+aTBzyDyEuw==}
     engines: {node: '>=6.0.0'}
     hasBin: true
 
@@ -3049,8 +3049,8 @@ packages:
   natural-compare@1.4.0:
     resolution: {integrity: sha512-OWND8ei3VtNC9h7V60qff3SVobHr996CTwgxubgyQYEpg290h9J0buyECNNJexkFm5sOajh5G116RYA1c8ZMSw==}
 
-  next@16.2.6:
-    resolution: {integrity: sha512-qOVgKJg1+At15NpeUP+eJgCHvTCgXsogweq87Ri/Ix7PkqQHg4sdaXmSFqKlgaIXE4kW0g25LE68W87UANlHtw==}
+  next@16.2.7:
+    resolution: {integrity: sha512-eMJxgjRzBaj3olkP4cBamHDXL79A8FC6u1GcsO1D1Tsx8bw/LLXUJCaoajVxtnhD3A1IJqIT8IcRJjgBIPJq4w==}
     engines: {node: '>=20.9.0'}
     hasBin: true
     peerDependencies:
@@ -4587,34 +4587,34 @@ snapshots:
       '@tybys/wasm-util': 0.10.2
     optional: true
 
-  '@next/env@16.2.6': {}
+  '@next/env@16.2.7': {}
 
   '@next/eslint-plugin-next@16.2.6':
     dependencies:
       fast-glob: 3.3.1
 
-  '@next/swc-darwin-arm64@16.2.6':
+  '@next/swc-darwin-arm64@16.2.7':
     optional: true
 
-  '@next/swc-darwin-x64@16.2.6':
+  '@next/swc-darwin-x64@16.2.7':
     optional: true
 
-  '@next/swc-linux-arm64-gnu@16.2.6':
+  '@next/swc-linux-arm64-gnu@16.2.7':
     optional: true
 
-  '@next/swc-linux-arm64-musl@16.2.6':
+  '@next/swc-linux-arm64-musl@16.2.7':
     optional: true
 
-  '@next/swc-linux-x64-gnu@16.2.6':
+  '@next/swc-linux-x64-gnu@16.2.7':
     optional: true
 
-  '@next/swc-linux-x64-musl@16.2.6':
+  '@next/swc-linux-x64-musl@16.2.7':
     optional: true
 
-  '@next/swc-win32-arm64-msvc@16.2.6':
+  '@next/swc-win32-arm64-msvc@16.2.7':
     optional: true
 
-  '@next/swc-win32-x64-msvc@16.2.6':
+  '@next/swc-win32-x64-msvc@16.2.7':
     optional: true
 
   '@nodelib/fs.scandir@2.1.5':
@@ -5345,7 +5345,7 @@ snapshots:
 
   balanced-match@4.0.4: {}
 
-  baseline-browser-mapping@2.10.32: {}
+  baseline-browser-mapping@2.10.33: {}
 
   before-after-hook@4.0.0: {}
 
@@ -5370,7 +5370,7 @@ snapshots:
 
   browserslist@4.28.2:
     dependencies:
-      baseline-browser-mapping: 2.10.32
+      baseline-browser-mapping: 2.10.33
       caniuse-lite: 1.0.30001793
       electron-to-chromium: 1.5.363
       node-releases: 2.0.46
@@ -6993,25 +6993,25 @@ snapshots:
 
   natural-compare@1.4.0: {}
 
-  next@16.2.6(@babel/core@7.29.7)(react-dom@19.2.6(react@19.2.6))(react@19.2.6):
+  next@16.2.7(@babel/core@7.29.7)(react-dom@19.2.6(react@19.2.6))(react@19.2.6):
     dependencies:
-      '@next/env': 16.2.6
+      '@next/env': 16.2.7
       '@swc/helpers': 0.5.15
-      baseline-browser-mapping: 2.10.32
+      baseline-browser-mapping: 2.10.33
       caniuse-lite: 1.0.30001793
       postcss: 8.4.31
       react: 19.2.6
       react-dom: 19.2.6(react@19.2.6)
       styled-jsx: 5.1.6(@babel/core@7.29.7)(react@19.2.6)
     optionalDependencies:
-      '@next/swc-darwin-arm64': 16.2.6
-      '@next/swc-darwin-x64': 16.2.6
-      '@next/swc-linux-arm64-gnu': 16.2.6
-      '@next/swc-linux-arm64-musl': 16.2.6
-      '@next/swc-linux-x64-gnu': 16.2.6
-      '@next/swc-linux-x64-musl': 16.2.6
-      '@next/swc-win32-arm64-msvc': 16.2.6
-      '@next/swc-win32-x64-msvc': 16.2.6
+      '@next/swc-darwin-arm64': 16.2.7
+      '@next/swc-darwin-x64': 16.2.7
+      '@next/swc-linux-arm64-gnu': 16.2.7
+      '@next/swc-linux-arm64-musl': 16.2.7
+      '@next/swc-linux-x64-gnu': 16.2.7
+      '@next/swc-linux-x64-musl': 16.2.7
+      '@next/swc-win32-arm64-msvc': 16.2.7
+      '@next/swc-win32-x64-msvc': 16.2.7
       sharp: 0.34.5
     transitivePeerDependencies:
       - '@babel/core'