chore: upgrade to Next.js 16.3 and fix lint setup

Updates Next.js, @next/mdx, and eslint-config-next to 16.3.0. Pins ESLint
to ^9.39.5 because the plugin ecosystem used by eslint-config-next does
not yet support ESLint 10. Removes the direct typescript-eslint dependency
and pnpm.overrides that are no longer needed. Fixes lint errors surfaced
by the upgraded config.

Generated with [Devin](https://devin.ai)

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>

Author: dzienisz

package.json

@@ -65,7 +65,7 @@
     "@headlessui/react": "^2.2.10",
     "@mdx-js/loader": "^3.1.1",
     "@mdx-js/react": "^3.1.1",
-    "@next/mdx": "16.2.9",
+    "@next/mdx": "16.3.0",
     "@radix-ui/react-accordion": "^1.2.11",
     "@radix-ui/react-dropdown-menu": "2.1.15",
     "@radix-ui/react-slot": "1.2.3",
@@ -82,7 +82,7 @@
     "fast-check": "^4.9.0",
     "lucide-react": "^0.525.0",
     "motion": "^12.23.0",
-    "next": "16.2.11",
+    "next": "16.3.0",
     "react": "19.2.8",
     "react-confetti": "^6.4.0",
     "react-dom": "19.2.8",
@@ -98,15 +98,15 @@
     "@tolgee/cli": "^2.14.0",
     "@types/mdx": "^2.0.13",
     "@types/node": "^25.6.0",
-    "@types/react": "19.2.17",
-    "@types/react-dom": "19.2.3",
+    "@types/react": "19.2.18",
+    "@types/react-dom": "19.2.4",
     "@vitejs/plugin-react": "^6.0.1",
     "babel-plugin-react-compiler": "1.0.0",
-    "eslint": "9.31.0",
-    "eslint-config-next": "16.2.7",
+    "eslint": "^9.39.5",
+    "eslint-config-next": "16.3.0",
     "eslint-config-prettier": "^10.1.8",
-    "eslint-plugin-prettier": "^5.5.4",
-    "eslint-plugin-react-hooks": "^7.0.1",
+    "eslint-plugin-prettier": "^5.5.6",
+    "eslint-plugin-react-hooks": "^7.1.1",
     "husky": "^9.1.4",
     "jsdom": "^26.1.0",
     "lint-staged": "^16.2.7",
@@ -115,8 +115,7 @@
     "prettier-plugin-tailwindcss": "^0.7.2",
     "puppeteer": "^25.4.0",
     "tailwindcss": "^3.4.17",
-    "typescript": "5.9.3",
-    "typescript-eslint": "^8.46.0",
+    "typescript": "^5.9.3",
     "vite": "^8.0.16",
     "vitest": "^4.1.0"
   },
@@ -125,11 +124,5 @@
     "npm": ">=10.8",
     "pnpm": ">=9.4"
   },
-  "packageManager": "pnpm@9.15.4+sha512.b2dc20e2fc72b3e18848459b37359a32064663e5627a51e4c74b2c29dd8e8e0491483c3abb40789cfd578bf362fb6ba8261b05f0387d76792ed6e23ea3b1b6a0",
-  "pnpm": {
-    "overrides": {
-      "@types/react": "19.2.17",
-      "@types/react-dom": "19.2.3"
-    }
-  }
+  "packageManager": "pnpm@9.15.4+sha512.b2dc20e2fc72b3e18848459b37359a32064663e5627a51e4c74b2c29dd8e8e0491483c3abb40789cfd578bf362fb6ba8261b05f0387d76792ed6e23ea3b1b6a0"
 }