chore(deps): bump the patches group across 1 directory with 3 updates (…

…#1080)

Bumps the patches group with 3 updates in the / directory: [next](https://github.com/vercel/next.js), [posthog-js](https://github.com/PostHog/posthog-js) and [tailwindcss](https://github.com/tailwindlabs/tailwindcss).


Updates `next` from 15.0.3 to 15.0.4
- [Release notes](https://github.com/vercel/next.js/releases)
- [Changelog](https://github.com/vercel/next.js/blob/canary/release.js)
- [Commits](vercel/next.js@v15.0.3...v15.0.4)

Updates `posthog-js` from 1.194.2 to 1.194.6
- [Release notes](https://github.com/PostHog/posthog-js/releases)
- [Changelog](https://github.com/PostHog/posthog-js/blob/main/CHANGELOG.md)
- [Commits](PostHog/posthog-js@v1.194.2...v1.194.6)

Updates `tailwindcss` from 3.4.15 to 3.4.16
- [Release notes](https://github.com/tailwindlabs/tailwindcss/releases)
- [Changelog](https://github.com/tailwindlabs/tailwindcss/blob/v3.4.16/CHANGELOG.md)
- [Commits](tailwindlabs/tailwindcss@v3.4.15...v3.4.16)

---
updated-dependencies:
- dependency-name: next
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: patches
- dependency-name: posthog-js
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: patches
- dependency-name: tailwindcss
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: patches
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

package.json

@@ -45,13 +45,13 @@
     "gpt3-tokenizer": "^1.1.5",
     "langfuse": "^3.31.1",
     "lucide-react": "^0.465.0",
-    "next": "^15.0.3",
+    "next": "^15.0.4",
     "next-sitemap": "^4.2.3",
     "nextra": "3.0.15",
     "nextra-theme-docs": "3.0.15",
     "openai-edge": "^1.2.2",
     "postcss": "^8.4.49",
-    "posthog-js": "^1.194.2",
+    "posthog-js": "^1.194.6",
     "react": "^18.3.1",
     "react-dom": "^18.3.1",
     "react-hook-form": "^7.53.2",
@@ -61,7 +61,7 @@
     "remark-gfm": "^4.0.0",
     "remark-math": "^6.0.0",
     "tailwind-merge": "^2.5.5",
-    "tailwindcss": "^3.4.15",
+    "tailwindcss": "^3.4.16",
     "tailwindcss-animate": "^1.0.7",
     "three": "^0.171.0",
     "zod": "^3.23.8"