deps(example): Bump the dependencies group in /examples/nextjs-14-ope…

…nai with 2 updates (#346)

Bumps the dependencies group in /examples/nextjs-14-openai with 2 updates: [ai](https://github.com/vercel/ai) and [next](https://github.com/vercel/next.js).

Updates `ai` from 3.0.7 to 3.0.9
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/vercel/ai/releases">ai's releases</a>.</em></p>
<blockquote>
<h2>[email protected]</h2>
<h3>Patch Changes</h3>
<ul>
<li>81ca3d6: fix(ai/rsc): improve .done() argument type</li>
</ul>
<h2>[email protected]</h2>
<h3>Patch Changes</h3>
<ul>
<li>a94aab2: ai/rsc: optimize streamable value stream size</li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/vercel/ai/commit/b32dcd439f08acf2e6586836b9d6382f3aec6770"><code>b32dcd4</code></a> Version Packages (<a href="https://redirect.github.com/vercel/ai/issues/1133">#1133</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/81ca3d648a7aa1dea565f5c8c4112fdcb8ffd798"><code>81ca3d6</code></a> fix(ai/rsc): Improve streamable <code>.done()</code> types (<a href="https://redirect.github.com/vercel/ai/issues/1132">#1132</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/fce8b1052658b1b276027ebfdeda059dcbad19d8"><code>fce8b10</code></a> Update README.md</li>
<li><a href="https://github.com/vercel/ai/commit/5b7c9ec17c99104e119c8b7e851c7e78b4d4bea7"><code>5b7c9ec</code></a> Version Packages (<a href="https://redirect.github.com/vercel/ai/issues/1131">#1131</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/a94aab2adb2135e88bc339f73a7f748b7ca85409"><code>a94aab2</code></a> fix(ai/rsc): Optimize streamable value (<a href="https://redirect.github.com/vercel/ai/issues/1130">#1130</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/eccbec9602098206372fc5b70221f4f74ca5673a"><code>eccbec9</code></a> Move assistant response docs. (<a href="https://redirect.github.com/vercel/ai/issues/1127">#1127</a>)</li>
<li>See full diff in <a href="https://github.com/vercel/ai/compare/[email protected]@3.0.9">compare view</a></li>
</ul>
</details>
<br />

Updates `next` from 14.1.0 to 14.1.3
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/vercel/next.js/releases">next's releases</a>.</em></p>
<blockquote>
<h2>v14.1.3</h2>
<h3>Core Changes</h3>
<ul>
<li>Upgrade to latest <a href="https://github.com/edge-runtime"><code>@​edge-runtime</code></a> packages: <a href="https://redirect.github.com/vercel/next.js/issues/62955">#62955</a></li>
<li>Fix output: export with custom distDir: <a href="https://redirect.github.com/vercel/next.js/issues/62064">#62064</a></li>
<li>Migrate locale redirect handling to router-server: <a href="https://redirect.github.com/vercel/next.js/issues/62606">#62606</a></li>
</ul>
<h3>Credits</h3>
<p>Huge thanks to <a href="https://github.com/ijjk"><code>@​ijjk</code></a></p>
<h2>v14.1.2</h2>
<p><em>Note: this is a backport release for critical bug fixes -- this does not include all pending features/changes on canary</em></p>
<h3>Core Changes</h3>
<ul>
<li>Fix sitemap generateSitemaps support for string id (<a href="https://redirect.github.com/vercel/next.js/issues/61088">#61088</a>)</li>
<li>Fix: generateSitemaps in production giving 404 (<a href="https://redirect.github.com/vercel/next.js/issues/62212">#62212</a>)</li>
<li>Fix redirect under suspense boundary with basePath (<a href="https://redirect.github.com/vercel/next.js/issues/62597">#62597</a>)</li>
<li>Fix: Add stricter check for &quot;use server&quot; exports (<a href="https://redirect.github.com/vercel/next.js/issues/62821">#62821</a>)</li>
<li>ensure server action errors notify rejection handlers (<a href="https://redirect.github.com/vercel/next.js/issues/61588">#61588</a>)</li>
<li>make router restore action resilient to a missing tree (<a href="https://redirect.github.com/vercel/next.js/issues/62098">#62098</a>)</li>
<li>build: remove sentry from the externals list <a href="https://redirect.github.com/vercel/next.js/issues/61194">#61194</a></li>
<li>Reduce memory/cache overhead from over loader processing <a href="https://redirect.github.com/vercel/next.js/issues/62005">#62005</a></li>
</ul>
<h3>Credits</h3>
<p>Huge thanks to <a href="https://github.com/huozhi"><code>@​huozhi</code></a>, <a href="https://github.com/shuding"><code>@​shuding</code></a>, <a href="https://github.com/Ethan-Arrowood"><code>@​Ethan-Arrowood</code></a>, <a href="https://github.com/styfle"><code>@​styfle</code></a>, <a href="https://github.com/ijjk"><code>@​ijjk</code></a>, <a href="https://github.com/ztanner"><code>@​ztanner</code></a>, <a href="https://github.com/balazsorban44"><code>@​balazsorban44</code></a>, <a href="https://github.com/kdy1"><code>@​kdy1</code></a>,  and <a href="https://github.com/williamli"><code>@​williamli</code></a> for helping!</p>
<h2>v14.1.2-canary.7</h2>
<h3>Core Changes</h3>
<ul>
<li>remove reducer unit tests: <a href="https://redirect.github.com/vercel/next.js/issues/62766">#62766</a></li>
</ul>
<h3>Documentation Changes</h3>
<ul>
<li>Update sitemap.mdx: <a href="https://redirect.github.com/vercel/next.js/issues/62809">#62809</a></li>
</ul>
<h3>Credits</h3>
<p>Huge thanks to <a href="https://github.com/ztanner"><code>@​ztanner</code></a> and <a href="https://github.com/devr77"><code>@​devr77</code></a> for helping!</p>
<h2>v14.1.2-canary.6</h2>
<h3>Core Changes</h3>
<ul>
<li>fix: Add stricter check for &quot;use server&quot; exports: <a href="https://redirect.github.com/vercel/next.js/issues/62821">#62821</a></li>
<li>fix(next-core): throw on invalid metadata handler: <a href="https://redirect.github.com/vercel/next.js/issues/62829">#62829</a></li>
<li>Revert &quot;Add experimental config for navigation raf test (<a href="https://redirect.github.com/vercel/next.js/issues/62668">#62668</a>)&quot;: <a href="https://redirect.github.com/vercel/next.js/issues/62834">#62834</a></li>
<li>Revert &quot;refactor(analysis): rust based page-static-info, deprecate js parse interface in next-swc&quot;: <a href="https://redirect.github.com/vercel/next.js/issues/62838">#62838</a></li>
</ul>
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</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/vercel/next.js/commit/fc38ee190c9b7de09ebff13a17ebd948cf580ec3"><code>fc38ee1</code></a> v14.1.3</li>
<li><a href="https://github.com/vercel/next.js/commit/85a5c4d1eeadc15c191a84b76e0c271fdaf388fc"><code>85a5c4d</code></a> fix type</li>
<li><a href="https://github.com/vercel/next.js/commit/4b059bc042ff9c25e5db7b1697962416860e4dba"><code>4b059bc</code></a> Upgrade to latest <a href="https://github.com/edge-runtime"><code>@​edge-runtime</code></a> packages (<a href="https://redirect.github.com/vercel/next.js/issues/62955">#62955</a>)</li>
<li><a href="https://github.com/vercel/next.js/commit/b10a6105a9d0b4ad05b6a44a2bdd40dfcb03a687"><code>b10a610</code></a> Fix output: export with custom distDir (<a href="https://redirect.github.com/vercel/next.js/issues/62064">#62064</a>)</li>
<li><a href="https://github.com/vercel/next.js/commit/960b738b8a95c1cc7e19e771ebada70aee57535c"><code>960b738</code></a> Migrate locale redirect handling to router-server (<a href="https://redirect.github.com/vercel/next.js/issues/62606">#62606</a>)</li>
<li><a href="https://github.com/vercel/next.js/commit/2f210d448a04a8583671f4fd097954fc193069c3"><code>2f210d4</code></a> update release workflow</li>
<li><a href="https://github.com/vercel/next.js/commit/f564deef86be32a6b25125ddb8172c7c27d3f19a"><code>f564dee</code></a> v14.1.2</li>
<li><a href="https://github.com/vercel/next.js/commit/a85519e71502c9409db586ec6f0b3f43336fb3e2"><code>a85519e</code></a> Fix sitemap generateSitemaps support for string id (<a href="https://redirect.github.com/vercel/next.js/issues/61088">#61088</a>)</li>
<li><a href="https://github.com/vercel/next.js/commit/0a2d7754ed7339cc97e0318cb5d24f4c70cbdc75"><code>0a2d775</code></a> Fix: generateSitemaps in production giving 404 (<a href="https://redirect.github.com/vercel/next.js/issues/62212">#62212</a>)</li>
<li><a href="https://github.com/vercel/next.js/commit/400b57cf2244ccf3281ec21dc3ebaedbba27584e"><code>400b57c</code></a> Fix redirect under suspense boundary with basePath (<a href="https://redirect.github.com/vercel/next.js/issues/62597">#62597</a>)</li>
<li>Additional commits viewable in <a href="https://github.com/vercel/next.js/compare/v14.1.0...v14.1.3">compare view</a></li>
</ul>
</details>
<br />


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</details>

examples/nextjs-14-openai/package.json

@@ -10,8 +10,8 @@
   },
   "dependencies": {
     "@arcjet/next": "file:../../arcjet-next",
-    "ai": "^3.0.7",
-    "next": "^14.1.0",
+    "ai": "^3.0.9",
+    "next": "^14.1.3",
     "openai": "^4.28.4",
     "openai-chat-tokens": "^0.2.8",
     "react": "^18",