diff --git a/package.json b/package.json
index cbf65730..00d40c24 100644
--- a/package.json
+++ b/package.json
@@ -66,7 +66,7 @@
     "framer-motion": "11.3.4",
     "fuse.js": "7.0.0",
     "katex": "0.16.21",
-    "next": "14.1.4",
+    "next": "14.2.25",
     "next-auth": "4.24.7",
     "next-mdx-remote": "4.4.1",
     "next-themes": "0.3.0",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index f0304b4b..b3bfc882 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -58,7 +58,7 @@ importers:
         version: 2.1.5(react@18.3.1)
       '@next-auth/prisma-adapter':
         specifier: 1.0.7
-        version: 1.0.7(@prisma/client@5.17.0(prisma@5.17.0))(next-auth@4.24.7(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1))
+        version: 1.0.7(@prisma/client@5.17.0(prisma@5.17.0))(next-auth@4.24.7(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1))
       '@next/bundle-analyzer':
         specifier: 14.2.5
         version: 14.2.5
@@ -79,10 +79,10 @@ importers:
         version: 4.23.0(@babel/runtime@7.27.0)(@codemirror/autocomplete@6.18.6)(@codemirror/language@6.10.2)(@codemirror/lint@6.8.1)(@codemirror/search@6.5.6)(@codemirror/state@6.5.2)(@codemirror/theme-one-dark@6.1.2)(@codemirror/view@6.28.4)(codemirror@6.0.1)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)
       '@vercel/analytics':
         specifier: 1.3.1
-        version: 1.3.1(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)
+        version: 1.3.1(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)
       '@vercel/speed-insights':
         specifier: 1.0.12
-        version: 1.0.12(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)
+        version: 1.0.12(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)
       '@visx/group':
         specifier: 3.3.0
         version: 3.3.0(react@18.3.1)
@@ -117,11 +117,11 @@ importers:
         specifier: 0.16.21
         version: 0.16.21
       next:
-        specifier: 14.1.4
-        version: 14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
+        specifier: 14.2.25
+        version: 14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
       next-auth:
         specifier: 4.24.7
-        version: 4.24.7(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1)
+        version: 4.24.7(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1)
       next-mdx-remote:
         specifier: 4.4.1
         version: 4.4.1(react-dom@18.3.1(react@18.3.1))(react@18.3.1)
@@ -1049,62 +1049,62 @@ packages:
   '@next/bundle-analyzer@14.2.5':
     resolution: {integrity: sha512-BtBbI8VUnB7s4m9ut6CkeJ8Hyx+aq+86mbH+uAld7ZGG0/eH4+5hcPnkHKsQM/yj74iClazS0fninI8yZbIZWA==}
 
-  '@next/env@14.1.4':
-    resolution: {integrity: sha512-e7X7bbn3Z6DWnDi75UWn+REgAbLEqxI8Tq2pkFOFAMpWAWApz/YCUhtWMWn410h8Q2fYiYL7Yg5OlxMOCfFjJQ==}
+  '@next/env@14.2.25':
+    resolution: {integrity: sha512-JnzQ2cExDeG7FxJwqAksZ3aqVJrHjFwZQAEJ9gQZSoEhIow7SNoKZzju/AwQ+PLIR4NY8V0rhcVozx/2izDO0w==}
 
   '@next/eslint-plugin-next@14.2.5':
     resolution: {integrity: sha512-LY3btOpPh+OTIpviNojDpUdIbHW9j0JBYBjsIp8IxtDFfYFyORvw3yNq6N231FVqQA7n7lwaf7xHbVJlA1ED7g==}
 
-  '@next/swc-darwin-arm64@14.1.4':
-    resolution: {integrity: sha512-ubmUkbmW65nIAOmoxT1IROZdmmJMmdYvXIe8211send9ZYJu+SqxSnJM4TrPj9wmL6g9Atvj0S/2cFmMSS99jg==}
+  '@next/swc-darwin-arm64@14.2.25':
+    resolution: {integrity: sha512-09clWInF1YRd6le00vt750s3m7SEYNehz9C4PUcSu3bAdCTpjIV4aTYQZ25Ehrr83VR1rZeqtKUPWSI7GfuKZQ==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [darwin]
 
-  '@next/swc-darwin-x64@14.1.4':
-    resolution: {integrity: sha512-b0Xo1ELj3u7IkZWAKcJPJEhBop117U78l70nfoQGo4xUSvv0PJSTaV4U9xQBLvZlnjsYkc8RwQN1HoH/oQmLlQ==}
+  '@next/swc-darwin-x64@14.2.25':
+    resolution: {integrity: sha512-V+iYM/QR+aYeJl3/FWWU/7Ix4b07ovsQ5IbkwgUK29pTHmq+5UxeDr7/dphvtXEq5pLB/PucfcBNh9KZ8vWbug==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [darwin]
 
-  '@next/swc-linux-arm64-gnu@14.1.4':
-    resolution: {integrity: sha512-457G0hcLrdYA/u1O2XkRMsDKId5VKe3uKPvrKVOyuARa6nXrdhJOOYU9hkKKyQTMru1B8qEP78IAhf/1XnVqKA==}
+  '@next/swc-linux-arm64-gnu@14.2.25':
+    resolution: {integrity: sha512-LFnV2899PJZAIEHQ4IMmZIgL0FBieh5keMnriMY1cK7ompR+JUd24xeTtKkcaw8QmxmEdhoE5Mu9dPSuDBgtTg==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [linux]
 
-  '@next/swc-linux-arm64-musl@14.1.4':
-    resolution: {integrity: sha512-l/kMG+z6MB+fKA9KdtyprkTQ1ihlJcBh66cf0HvqGP+rXBbOXX0dpJatjZbHeunvEHoBBS69GYQG5ry78JMy3g==}
+  '@next/swc-linux-arm64-musl@14.2.25':
+    resolution: {integrity: sha512-QC5y5PPTmtqFExcKWKYgUNkHeHE/z3lUsu83di488nyP0ZzQ3Yse2G6TCxz6nNsQwgAx1BehAJTZez+UQxzLfw==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [linux]
 
-  '@next/swc-linux-x64-gnu@14.1.4':
-    resolution: {integrity: sha512-BapIFZ3ZRnvQ1uWbmqEGJuPT9cgLwvKtxhK/L2t4QYO7l+/DxXuIGjvp1x8rvfa/x1FFSsipERZK70pewbtJtw==}
+  '@next/swc-linux-x64-gnu@14.2.25':
+    resolution: {integrity: sha512-y6/ML4b9eQ2D/56wqatTJN5/JR8/xdObU2Fb1RBidnrr450HLCKr6IJZbPqbv7NXmje61UyxjF5kvSajvjye5w==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [linux]
 
-  '@next/swc-linux-x64-musl@14.1.4':
-    resolution: {integrity: sha512-mqVxTwk4XuBl49qn2A5UmzFImoL1iLm0KQQwtdRJRKl21ylQwwGCxJtIYo2rbfkZHoSKlh/YgztY0qH3wG1xIg==}
+  '@next/swc-linux-x64-musl@14.2.25':
+    resolution: {integrity: sha512-sPX0TSXHGUOZFvv96GoBXpB3w4emMqKeMgemrSxI7A6l55VBJp/RKYLwZIB9JxSqYPApqiREaIIap+wWq0RU8w==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [linux]
 
-  '@next/swc-win32-arm64-msvc@14.1.4':
-    resolution: {integrity: sha512-xzxF4ErcumXjO2Pvg/wVGrtr9QQJLk3IyQX1ddAC/fi6/5jZCZ9xpuL9Tzc4KPWMFq8GGWFVDMshZOdHGdkvag==}
+  '@next/swc-win32-arm64-msvc@14.2.25':
+    resolution: {integrity: sha512-ReO9S5hkA1DU2cFCsGoOEp7WJkhFzNbU/3VUF6XxNGUCQChyug6hZdYL/istQgfT/GWE6PNIg9cm784OI4ddxQ==}
     engines: {node: '>= 10'}
     cpu: [arm64]
     os: [win32]
 
-  '@next/swc-win32-ia32-msvc@14.1.4':
-    resolution: {integrity: sha512-WZiz8OdbkpRw6/IU/lredZWKKZopUMhcI2F+XiMAcPja0uZYdMTZQRoQ0WZcvinn9xZAidimE7tN9W5v9Yyfyw==}
+  '@next/swc-win32-ia32-msvc@14.2.25':
+    resolution: {integrity: sha512-DZ/gc0o9neuCDyD5IumyTGHVun2dCox5TfPQI/BJTYwpSNYM3CZDI4i6TOdjeq1JMo+Ug4kPSMuZdwsycwFbAw==}
     engines: {node: '>= 10'}
     cpu: [ia32]
     os: [win32]
 
-  '@next/swc-win32-x64-msvc@14.1.4':
-    resolution: {integrity: sha512-4Rto21sPfw555sZ/XNLqfxDUNeLhNYGO2dlPqsnuCg8N8a2a9u1ltqBOPQ4vj1Gf7eJC0W2hHG2eYUHuiXgY2w==}
+  '@next/swc-win32-x64-msvc@14.2.25':
+    resolution: {integrity: sha512-KSznmS6eFjQ9RJ1nEc66kJvtGIL1iZMYmGEXsZPh2YtnLtqrgdVvKXJY2ScjjoFnG6nGLyPFR0UiEvDwVah4Tw==}
     engines: {node: '>= 10'}
     cpu: [x64]
     os: [win32]
@@ -1519,8 +1519,11 @@ packages:
   '@supabase/realtime-js@2.10.4':
     resolution: {integrity: sha512-ML8gZGxFfnx+gi7MLTAtuJdGkuwWBsNwImHF1mnNCPWE4rlVwSWXUoZvszA/S+6insOTddpnj/ZRpjZZbzOu/w==}
 
-  '@swc/helpers@0.5.2':
-    resolution: {integrity: sha512-E4KcWTpoLHqwPHLxidpOqQbcrZVgi0rsmmZXUle1jXmJfuIf/UWpczUJ7MZZ5tlxytgJXyp0w4PGkkeLiuIdZw==}
+  '@swc/counter@0.1.3':
+    resolution: {integrity: sha512-e2BR4lsJkkRlKZ/qCHPw9ZaSxc0MVUd7gtbtaB7aMvHeJVYe8sOB8DBZkP2DtISHGSku9sCK6T6cnY0CtXrOCQ==}
+
+  '@swc/helpers@0.5.5':
+    resolution: {integrity: sha512-KGYxvIOXcceOAbEk4bi/dVLEK9z8sZ0uBB3Il5b1rhfClSpcX0yfRO0KmTkqR2cnQDymwLB+25ZyMzICg/cm/A==}
 
   '@tailwindcss/typography@0.5.13':
     resolution: {integrity: sha512-ADGcJ8dX21dVVHIwTRgzrcunY6YY9uSlAHHGVKvkA+vLc5qLwEszvKts40lx7z0qc4clpjclwLeK5rVCV2P/uw==}
@@ -4035,18 +4038,21 @@ packages:
       react: ^16.8 || ^17 || ^18
       react-dom: ^16.8 || ^17 || ^18
 
-  next@14.1.4:
-    resolution: {integrity: sha512-1WTaXeSrUwlz/XcnhGTY7+8eiaFvdet5z9u3V2jb+Ek1vFo0VhHKSAIJvDWfQpttWjnyw14kBeq28TPq7bTeEQ==}
+  next@14.2.25:
+    resolution: {integrity: sha512-N5M7xMc4wSb4IkPvEV5X2BRRXUmhVHNyaXwEM86+voXthSZz8ZiRyQW4p9mwAoAPIm6OzuVZtn7idgEJeAJN3Q==}
     engines: {node: '>=18.17.0'}
     hasBin: true
     peerDependencies:
       '@opentelemetry/api': ^1.1.0
+      '@playwright/test': ^1.41.2
       react: ^18.2.0
       react-dom: ^18.2.0
       sass: ^1.3.0
     peerDependenciesMeta:
       '@opentelemetry/api':
         optional: true
+      '@playwright/test':
+        optional: true
       sass:
         optional: true
 
@@ -6649,10 +6655,10 @@ snapshots:
       '@tybys/wasm-util': 0.9.0
     optional: true
 
-  '@next-auth/prisma-adapter@1.0.7(@prisma/client@5.17.0(prisma@5.17.0))(next-auth@4.24.7(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1))':
+  '@next-auth/prisma-adapter@1.0.7(@prisma/client@5.17.0(prisma@5.17.0))(next-auth@4.24.7(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1))':
     dependencies:
       '@prisma/client': 5.17.0(prisma@5.17.0)
-      next-auth: 4.24.7(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1)
+      next-auth: 4.24.7(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1)
 
   '@next/bundle-analyzer@14.2.5':
     dependencies:
@@ -6661,37 +6667,37 @@ snapshots:
       - bufferutil
       - utf-8-validate
 
-  '@next/env@14.1.4': {}
+  '@next/env@14.2.25': {}
 
   '@next/eslint-plugin-next@14.2.5':
     dependencies:
       glob: 10.3.10
 
-  '@next/swc-darwin-arm64@14.1.4':
+  '@next/swc-darwin-arm64@14.2.25':
     optional: true
 
-  '@next/swc-darwin-x64@14.1.4':
+  '@next/swc-darwin-x64@14.2.25':
     optional: true
 
-  '@next/swc-linux-arm64-gnu@14.1.4':
+  '@next/swc-linux-arm64-gnu@14.2.25':
     optional: true
 
-  '@next/swc-linux-arm64-musl@14.1.4':
+  '@next/swc-linux-arm64-musl@14.2.25':
     optional: true
 
-  '@next/swc-linux-x64-gnu@14.1.4':
+  '@next/swc-linux-x64-gnu@14.2.25':
     optional: true
 
-  '@next/swc-linux-x64-musl@14.1.4':
+  '@next/swc-linux-x64-musl@14.2.25':
     optional: true
 
-  '@next/swc-win32-arm64-msvc@14.1.4':
+  '@next/swc-win32-arm64-msvc@14.2.25':
     optional: true
 
-  '@next/swc-win32-ia32-msvc@14.1.4':
+  '@next/swc-win32-ia32-msvc@14.2.25':
     optional: true
 
-  '@next/swc-win32-x64-msvc@14.1.4':
+  '@next/swc-win32-x64-msvc@14.2.25':
     optional: true
 
   '@nodelib/fs.scandir@2.1.5':
@@ -7279,8 +7285,11 @@ snapshots:
       - bufferutil
       - utf-8-validate
 
-  '@swc/helpers@0.5.2':
+  '@swc/counter@0.1.3': {}
+
+  '@swc/helpers@0.5.5':
     dependencies:
+      '@swc/counter': 0.1.3
       tslib: 2.8.1
 
   '@tailwindcss/typography@0.5.13(tailwindcss@3.4.5(ts-node@10.9.2(@types/node@20.14.10)(typescript@5.5.3)))':
@@ -7707,16 +7716,16 @@ snapshots:
   '@unrs/resolver-binding-win32-x64-msvc@1.6.3':
     optional: true
 
-  '@vercel/analytics@1.3.1(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)':
+  '@vercel/analytics@1.3.1(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)':
     dependencies:
       server-only: 0.0.1
     optionalDependencies:
-      next: 14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
+      next: 14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
       react: 18.3.1
 
-  '@vercel/speed-insights@1.0.12(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)':
+  '@vercel/speed-insights@1.0.12(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react@18.3.1)':
     optionalDependencies:
-      next: 14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
+      next: 14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
       react: 18.3.1
 
   '@visx/curve@3.3.0':
@@ -10366,13 +10375,13 @@ snapshots:
 
   new-github-issue-url@0.2.1: {}
 
-  next-auth@4.24.7(next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1):
+  next-auth@4.24.7(next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8))(react-dom@18.3.1(react@18.3.1))(react@18.3.1):
     dependencies:
       '@babel/runtime': 7.27.0
       '@panva/hkdf': 1.2.1
       cookie: 0.5.0
       jose: 4.15.9
-      next: 14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
+      next: 14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8)
       oauth: 0.9.15
       openid-client: 5.7.1
       preact: 10.26.5
@@ -10397,10 +10406,10 @@ snapshots:
       react: 18.3.1
       react-dom: 18.3.1(react@18.3.1)
 
-  next@14.1.4(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8):
+  next@14.2.25(@babel/core@7.26.10)(@opentelemetry/api@1.9.0)(@playwright/test@1.45.2)(react-dom@18.3.1(react@18.3.1))(react@18.3.1)(sass@1.77.8):
     dependencies:
-      '@next/env': 14.1.4
-      '@swc/helpers': 0.5.2
+      '@next/env': 14.2.25
+      '@swc/helpers': 0.5.5
       busboy: 1.6.0
       caniuse-lite: 1.0.30001715
       graceful-fs: 4.2.11
@@ -10409,16 +10418,17 @@ snapshots:
       react-dom: 18.3.1(react@18.3.1)
       styled-jsx: 5.1.1(@babel/core@7.26.10)(react@18.3.1)
     optionalDependencies:
-      '@next/swc-darwin-arm64': 14.1.4
-      '@next/swc-darwin-x64': 14.1.4
-      '@next/swc-linux-arm64-gnu': 14.1.4
-      '@next/swc-linux-arm64-musl': 14.1.4
-      '@next/swc-linux-x64-gnu': 14.1.4
-      '@next/swc-linux-x64-musl': 14.1.4
-      '@next/swc-win32-arm64-msvc': 14.1.4
-      '@next/swc-win32-ia32-msvc': 14.1.4
-      '@next/swc-win32-x64-msvc': 14.1.4
+      '@next/swc-darwin-arm64': 14.2.25
+      '@next/swc-darwin-x64': 14.2.25
+      '@next/swc-linux-arm64-gnu': 14.2.25
+      '@next/swc-linux-arm64-musl': 14.2.25
+      '@next/swc-linux-x64-gnu': 14.2.25
+      '@next/swc-linux-x64-musl': 14.2.25
+      '@next/swc-win32-arm64-msvc': 14.2.25
+      '@next/swc-win32-ia32-msvc': 14.2.25
+      '@next/swc-win32-x64-msvc': 14.2.25
       '@opentelemetry/api': 1.9.0
+      '@playwright/test': 1.45.2
       sass: 1.77.8
     transitivePeerDependencies:
       - '@babel/core'