deps(example): Bump ai from 3.1.33 to 3.1.35 in /examples/nextjs-14-o…

…penai in the dependencies group (#975)

Bumps the dependencies group in /examples/nextjs-14-openai with 1 update: [ai](https://github.com/vercel/ai).

Updates `ai` from 3.1.33 to 3.1.35
<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>ai@3.1.35</h2>
<h3>Patch Changes</h3>
<ul>
<li>06123501: feat (core): support https and data url strings in image parts</li>
</ul>
<h2>ai@3.1.34</h2>
<h3>Patch Changes</h3>
<ul>
<li>d25566ac: feat (core): add cosineSimilarity helper function</li>
<li>87a5d27e: feat (core): introduce InvalidMessageRoleError.</li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/vercel/ai/commit/a5c2845b5158be25a9045dcd7b991ab394837f53"><code>a5c2845</code></a> Version Packages (<a href="https://redirect.github.com/vercel/ai/issues/1946">#1946</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/06123501b46de6a7b4865d289a1a093f7d37fa3f"><code>0612350</code></a> feat (core): support https and data url strings in image parts (<a href="https://redirect.github.com/vercel/ai/issues/1944">#1944</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/17e5bbb68c833cdb6dc930c4c7dbd7929d3e6f17"><code>17e5bbb</code></a> feat (docs): add generateId reference docs (<a href="https://redirect.github.com/vercel/ai/issues/1942">#1942</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/6a0fcc9ccb15d5b5d37e7e20d31595894734c3c5"><code>6a0fcc9</code></a> feat (docs): add 'prompt engineering with tools' section (<a href="https://redirect.github.com/vercel/ai/issues/1941">#1941</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/9b3afb17926cbfa6f59a9f2721cee9c00225b23d"><code>9b3afb1</code></a> feat (docs): add pre-built tools section (<a href="https://redirect.github.com/vercel/ai/issues/1940">#1940</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/fb694067550e86a43a1031dd35e6f30bbe99acd5"><code>fb69406</code></a> Version Packages (<a href="https://redirect.github.com/vercel/ai/issues/1938">#1938</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/d25566acca419c1d80e08189ea1549eb90c46b7f"><code>d25566a</code></a> feat (core): add cosineSimilarity helper function (<a href="https://redirect.github.com/vercel/ai/issues/1939">#1939</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/f9db8fd6543202a8404a7a1a40f938d6270b08ef"><code>f9db8fd</code></a> feat (<code>@​ai-sdk/openai</code>): add parallelToolCalls setting (<a href="https://redirect.github.com/vercel/ai/issues/1937">#1937</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/87a5d27e7c378ad1429109b334e6f25aecc2dd4e"><code>87a5d27</code></a> feat (core): introduce InvalidMessageRoleError. (<a href="https://redirect.github.com/vercel/ai/issues/1936">#1936</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/e0d0d4670f5f6f4f0f6a0b3325ff6c71d9fcc2f3"><code>e0d0d46</code></a> chore (docs): replace nanoid with generateId (<a href="https://redirect.github.com/vercel/ai/issues/1931">#1931</a>)</li>
<li>Additional commits viewable in <a href="https://github.com/vercel/ai/compare/ai@3.1.33...ai@3.1.35">compare view</a></li>
</ul>
</details>
<br />


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</details>

examples/nextjs-14-openai/package.json

@@ -10,7 +10,7 @@
   },
   "dependencies": {
     "@arcjet/next": "file:../../arcjet-next",
-    "ai": "^3.1.33",
+    "ai": "^3.1.35",
     "next": "^14.2.4",
     "openai": "^4.51.0",
     "openai-chat-tokens": "^0.2.8",