diff --git a/package-lock.json b/package-lock.json
index 6f7fbbf..90094c7 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -8,13 +8,13 @@
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-        "katex": "^0.17.0",
-        "react": "^19.2.7",
-        "react-dom": "^19.2.7",
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-        "eslint": "^10.7.0",
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-        "vite": "^8.1.4",
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@@ -111,7 +111,6 @@
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@@ -393,7 +392,6 @@
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@@ -438,11 +436,33 @@
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         "url": "https://github.com/sponsors/Brooooooklyn"
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@@ -733,9 +764,9 @@
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@@ -750,9 +781,9 @@
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@@ -767,9 +798,9 @@
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@@ -784,9 +815,9 @@
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@@ -801,13 +832,16 @@
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         "arm64"
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@@ -818,13 +852,16 @@
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@@ -835,13 +872,16 @@
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@@ -852,13 +892,16 @@
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@@ -886,13 +932,16 @@
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@@ -956,7 +1005,9 @@
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@@ -981,7 +1032,9 @@
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@@ -991,7 +1044,9 @@
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@@ -3435,6 +3604,7 @@
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@@ -4284,7 +4454,9 @@
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@@ -4437,35 +4608,41 @@
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+      "resolved": "https://registry.npmjs.org/playwright/-/playwright-1.62.0.tgz",
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+        "playwright-core": "1.62.0"
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+        "node": ">=20"
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     "node_modules/playwright-core": {
-      "version": "1.61.1",
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+      "resolved": "https://registry.npmjs.org/playwright-core/-/playwright-core-1.62.0.tgz",
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       "bin": {
         "playwright-core": "cli.js"
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+        "node": ">=20"
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-      "version": "8.5.16",
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+      "resolved": "https://registry.npmjs.org/postcss/-/postcss-8.5.25.tgz",
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@@ -4483,7 +4660,7 @@
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+        "nanoid": "^3.3.16",
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@@ -4503,6 +4680,7 @@
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@@ -4529,28 +4707,31 @@
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+      "version": "19.2.8",
+      "resolved": "https://registry.npmjs.org/react/-/react-19.2.8.tgz",
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-      "version": "19.2.7",
+      "version": "19.2.8",
+      "resolved": "https://registry.npmjs.org/react-dom/-/react-dom-19.2.8.tgz",
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-      "peer": true,
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-        "react": "^19.2.7"
+        "react": "^19.2.8"
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       "version": "17.0.2",
       "dev": true,
-      "license": "MIT"
+      "license": "MIT",
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       "version": "10.1.0",
@@ -4578,7 +4759,9 @@
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-      "version": "7.18.1",
+      "version": "7.18.2",
+      "resolved": "https://registry.npmjs.org/react-router/-/react-router-7.18.2.tgz",
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@@ -4598,10 +4781,12 @@
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-      "version": "7.18.1",
+      "version": "7.18.2",
+      "resolved": "https://registry.npmjs.org/react-router-dom/-/react-router-dom-7.18.2.tgz",
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       "license": "MIT",
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-        "react-router": "7.18.1"
+        "react-router": "7.18.2"
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@@ -4723,11 +4908,13 @@
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-      "version": "1.1.4",
+      "version": "1.1.5",
+      "resolved": "https://registry.npmjs.org/rolldown/-/rolldown-1.1.5.tgz",
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       "dev": true,
       "license": "MIT",
       "dependencies": {
-        "@oxc-project/types": "=0.138.0",
+        "@oxc-project/types": "=0.139.0",
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@@ -4737,21 +4924,21 @@
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-        "@rolldown/binding-darwin-arm64": "1.1.4",
-        "@rolldown/binding-darwin-x64": "1.1.4",
-        "@rolldown/binding-freebsd-x64": "1.1.4",
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-        "@rolldown/binding-win32-arm64-msvc": "1.1.4",
-        "@rolldown/binding-win32-x64-msvc": "1.1.4"
+        "@rolldown/binding-android-arm64": "1.1.5",
+        "@rolldown/binding-darwin-arm64": "1.1.5",
+        "@rolldown/binding-darwin-x64": "1.1.5",
+        "@rolldown/binding-freebsd-x64": "1.1.5",
+        "@rolldown/binding-linux-arm-gnueabihf": "1.1.5",
+        "@rolldown/binding-linux-arm64-gnu": "1.1.5",
+        "@rolldown/binding-linux-arm64-musl": "1.1.5",
+        "@rolldown/binding-linux-ppc64-gnu": "1.1.5",
+        "@rolldown/binding-linux-s390x-gnu": "1.1.5",
+        "@rolldown/binding-linux-x64-gnu": "1.1.5",
+        "@rolldown/binding-linux-x64-musl": "1.1.5",
+        "@rolldown/binding-openharmony-arm64": "1.1.5",
+        "@rolldown/binding-wasm32-wasi": "1.1.5",
+        "@rolldown/binding-win32-arm64-msvc": "1.1.5",
+        "@rolldown/binding-win32-x64-msvc": "1.1.5"
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     "node_modules/saxes": {
@@ -4779,6 +4966,8 @@
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+      "resolved": "https://registry.npmjs.org/set-cookie-parser/-/set-cookie-parser-2.7.2.tgz",
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@@ -4872,12 +5061,16 @@
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-      "version": "4.3.2",
+      "version": "4.3.3",
+      "resolved": "https://registry.npmjs.org/tailwindcss/-/tailwindcss-4.3.3.tgz",
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       "dev": true,
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     "node_modules/tapable": {
       "version": "2.3.3",
+      "resolved": "https://registry.npmjs.org/tapable/-/tapable-2.3.3.tgz",
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@@ -5215,15 +5408,16 @@
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+      "version": "8.1.5",
+      "resolved": "https://registry.npmjs.org/vite/-/vite-8.1.5.tgz",
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         "picomatch": "^4.0.5",
-        "postcss": "^8.5.16",
-        "rolldown": "~1.1.4",
+        "postcss": "^8.5.17",
+        "rolldown": "~1.1.5",
         "tinyglobby": "^0.2.17"
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@@ -5512,7 +5706,6 @@
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diff --git a/package.json b/package.json
index 0498473..055c0e2 100644
--- a/package.json
+++ b/package.json
@@ -17,13 +17,13 @@
     "test:e2e": "playwright test"
   },
   "dependencies": {
-    "@supabase/supabase-js": "^2.110.2",
+    "@supabase/supabase-js": "^2.111.0",
     "@vercel/analytics": "^2.0.1",
-    "katex": "^0.17.0",
-    "react": "^19.2.7",
-    "react-dom": "^19.2.7",
+    "katex": "^0.18.1",
+    "react": "^19.2.8",
+    "react-dom": "^19.2.8",
     "react-markdown": "^10.1.0",
-    "react-router-dom": "^7.18.1",
+    "react-router-dom": "^7.18.2",
     "rehype-katex": "^7.0.1",
     "remark-gfm": "^4.0.1",
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@@ -31,21 +31,21 @@
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-    "@playwright/test": "^1.61.1",
-    "@tailwindcss/vite": "^4.3.2",
+    "@playwright/test": "^1.62.0",
+    "@tailwindcss/vite": "^4.3.3",
     "@testing-library/react": "^16.3.2",
     "@testing-library/user-event": "^14.6.1",
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     "@types/react-dom": "^19.2.3",
-    "@vitejs/plugin-react": "^6.0.3",
-    "eslint": "^10.7.0",
+    "@vitejs/plugin-react": "^6.0.4",
+    "eslint": "^10.8.0",
     "eslint-plugin-react-hooks": "^7.1.1",
     "eslint-plugin-react-refresh": "^0.5.3",
-    "globals": "^17.7.0",
+    "globals": "^17.8.0",
     "jsdom": "^29.1.1",
     "tailwindcss": "^4.3.0",
     "typescript": "^7.0.2",
-    "vite": "^8.1.4",
+    "vite": "^8.1.5",
     "vitest": "^4.1.10"
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