deps(example): Bump the dependencies group across 1 directory with 3 …

…updates (#761)

Bumps the dependencies group with 3 updates in the /examples/nextjs-14-openai directory: [ai](https://github.com/vercel/ai), [openai](https://github.com/openai/openai-node) and [@types/react](https://github.com/DefinitelyTyped/DefinitelyTyped/tree/HEAD/types/react).

Updates `ai` from 3.1.5 to 3.1.8
<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@3.1.8</h2>
<h3>Patch Changes</h3>
<ul>
<li>0f6bc4e: feat (ai/core): add embed function</li>
<li>Updated dependencies [0f6bc4e]
<ul>
<li><code>@​ai-sdk/provider</code><a href="https://github.com/0"><code>@​0</code></a>.0.5</li>
<li><code>@​ai-sdk/provider-utils</code><a href="https://github.com/0"><code>@​0</code></a>.0.8</li>
</ul>
</li>
</ul>
<h2>ai@3.1.7</h2>
<h3>Patch Changes</h3>
<ul>
<li>f617b97: feat (ai): support client/server tool calls with useChat and streamText</li>
</ul>
<h2>ai@3.1.6</h2>
<h3>Patch Changes</h3>
<ul>
<li>2e78acb: Deprecate StreamingReactResponse (use AI SDK RSC instead).</li>
<li>8439884: ai/rsc: make RSC streamable utils chainable</li>
<li>325ca55: feat (ai/core): improve image content part error message</li>
<li>Updated dependencies [325ca55]
<ul>
<li><code>@​ai-sdk/provider</code><a href="https://github.com/0"><code>@​0</code></a>.0.4</li>
<li><code>@​ai-sdk/provider-utils</code><a href="https://github.com/0"><code>@​0</code></a>.0.7</li>
</ul>
</li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/vercel/ai/commit/c4ee1393e53fc87c851169ab3a4cc496af685224"><code>c4ee139</code></a> Version Packages (<a href="https://redirect.github.com/vercel/ai/issues/1579">#1579</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/0f6bc4e0132c3ff5f623d46a604bf4180d8d5062"><code>0f6bc4e</code></a> feat (ai/core): add embed function (<a href="https://redirect.github.com/vercel/ai/issues/1575">#1575</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/10095947760c9b10ba65e5a1be3f2a24e698963e"><code>1009594</code></a> feat (provider/openai): set stream_options/include_usage to true when streami...</li>
<li><a href="https://github.com/vercel/ai/commit/e403313b2d5bc1353cac9600c217f5615d8aeeeb"><code>e403313</code></a> chore: delete outdated &amp; redundant examples. (<a href="https://redirect.github.com/vercel/ai/issues/1581">#1581</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/2ffbaa581c8100e50612954c3d526d09cab47fc3"><code>2ffbaa5</code></a> chore: update language model v1 jsdoc content &amp; formatting. (<a href="https://redirect.github.com/vercel/ai/issues/1582">#1582</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/49860b6edab485506ee0f8decca85514bb78f6ba"><code>49860b6</code></a> chore: enable dependabot</li>
<li><a href="https://github.com/vercel/ai/commit/224cb99616d65e4e2e4898bf96d72b3552c9ba29"><code>224cb99</code></a> Add changeset for <a href="https://redirect.github.com/vercel/ai/issues/1580">#1580</a></li>
<li><a href="https://github.com/vercel/ai/commit/2a7457fac4d9a1b074259e1dcdcd41e9eec916fc"><code>2a7457f</code></a> Add open-mixtral-8x22b to supported Mistral model types (<a href="https://redirect.github.com/vercel/ai/issues/1580">#1580</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/310d9a1d31669883fa1ea5bd958b1dcfa852e6ee"><code>310d9a1</code></a> improve examples (<a href="https://redirect.github.com/vercel/ai/issues/1577">#1577</a>)</li>
<li><a href="https://github.com/vercel/ai/commit/6f48839c0d986a10947bbac1926d3dc4cbc72311"><code>6f48839</code></a> Add changeset for <a href="https://redirect.github.com/vercel/ai/issues/1572">#1572</a></li>
<li>Additional commits viewable in <a href="https://github.com/vercel/ai/compare/ai@3.1.5...ai@3.1.8">compare view</a></li>
</ul>
</details>
<br />

Updates `openai` from 4.44.0 to 4.47.1
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/openai/openai-node/releases">openai's releases</a>.</em></p>
<blockquote>
<h2>v4.47.1</h2>
<h2>4.47.1 (2024-05-14)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.47.0...v4.47.1">v4.47.0...v4.47.1</a></p>
<h3>Chores</h3>
<ul>
<li><strong>internal:</strong> add slightly better logging to scripts (<a href="https://redirect.github.com/openai/openai-node/issues/848">#848</a>) (<a href="https://github.com/openai/openai-node/commit/139e690546775b3568934dd990dd329fce2fbc2f">139e690</a>)</li>
</ul>
<h2>v4.47.0</h2>
<h2>4.47.0 (2024-05-14)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.46.1...v4.47.0">v4.46.1...v4.47.0</a></p>
<h3>Features</h3>
<ul>
<li><strong>api:</strong> add incomplete state (<a href="https://redirect.github.com/openai/openai-node/issues/846">#846</a>) (<a href="https://github.com/openai/openai-node/commit/5f663a167361b905c6d0c1242e8a78037a7e4a57">5f663a1</a>)</li>
</ul>
<h2>v4.46.1</h2>
<h2>4.46.1 (2024-05-13)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.46.0...v4.46.1">v4.46.0...v4.46.1</a></p>
<h3>Refactors</h3>
<ul>
<li>change import paths to be relative (<a href="https://redirect.github.com/openai/openai-node/issues/843">#843</a>) (<a href="https://github.com/openai/openai-node/commit/7913574bdb6fcbcf68e56e8def351add6c43310a">7913574</a>)</li>
</ul>
<h2>v4.46.0</h2>
<h2>4.46.0 (2024-05-13)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.45.0...v4.46.0">v4.45.0...v4.46.0</a></p>
<h3>Features</h3>
<ul>
<li><strong>api:</strong> add gpt-4o model (<a href="https://redirect.github.com/openai/openai-node/issues/841">#841</a>) (<a href="https://github.com/openai/openai-node/commit/c818ed139bfba81af6ca3c4eda08d52366758529">c818ed1</a>)</li>
</ul>
<h2>v4.45.0</h2>
<h2>4.45.0 (2024-05-11)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.44.0...v4.45.0">v4.44.0...v4.45.0</a></p>
<h3>Features</h3>
<ul>
<li><strong>azure:</strong> batch api (<a href="https://redirect.github.com/openai/openai-node/issues/839">#839</a>) (<a href="https://github.com/openai/openai-node/commit/e279f8c51aa80cb913ccb6df647407bea1f2f071">e279f8c</a>)</li>
</ul>
<h3>Chores</h3>
<ul>
<li><strong>dependency:</strong> bumped Next.js version (<a href="https://redirect.github.com/openai/openai-node/issues/836">#836</a>) (<a href="https://github.com/openai/openai-node/commit/babb1404751059bdd171b792d03fd21272dd8f8b">babb140</a>)</li>
<li><strong>docs:</strong> add SECURITY.md (<a href="https://redirect.github.com/openai/openai-node/issues/838">#838</a>) (<a href="https://github.com/openai/openai-node/commit/6e556d9e12341155cc13fe226ab110d63858370e">6e556d9</a>)</li>
</ul>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a href="https://github.com/openai/openai-node/blob/master/CHANGELOG.md">openai's changelog</a>.</em></p>
<blockquote>
<h2>4.47.1 (2024-05-14)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.47.0...v4.47.1">v4.47.0...v4.47.1</a></p>
<h3>Chores</h3>
<ul>
<li><strong>internal:</strong> add slightly better logging to scripts (<a href="https://redirect.github.com/openai/openai-node/issues/848">#848</a>) (<a href="https://github.com/openai/openai-node/commit/139e690546775b3568934dd990dd329fce2fbc2f">139e690</a>)</li>
</ul>
<h2>4.47.0 (2024-05-14)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.46.1...v4.47.0">v4.46.1...v4.47.0</a></p>
<h3>Features</h3>
<ul>
<li><strong>api:</strong> add incomplete state (<a href="https://redirect.github.com/openai/openai-node/issues/846">#846</a>) (<a href="https://github.com/openai/openai-node/commit/5f663a167361b905c6d0c1242e8a78037a7e4a57">5f663a1</a>)</li>
</ul>
<h2>4.46.1 (2024-05-13)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.46.0...v4.46.1">v4.46.0...v4.46.1</a></p>
<h3>Refactors</h3>
<ul>
<li>change import paths to be relative (<a href="https://redirect.github.com/openai/openai-node/issues/843">#843</a>) (<a href="https://github.com/openai/openai-node/commit/7913574bdb6fcbcf68e56e8def351add6c43310a">7913574</a>)</li>
</ul>
<h2>4.46.0 (2024-05-13)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.45.0...v4.46.0">v4.45.0...v4.46.0</a></p>
<h3>Features</h3>
<ul>
<li><strong>api:</strong> add gpt-4o model (<a href="https://redirect.github.com/openai/openai-node/issues/841">#841</a>) (<a href="https://github.com/openai/openai-node/commit/c818ed139bfba81af6ca3c4eda08d52366758529">c818ed1</a>)</li>
</ul>
<h2>4.45.0 (2024-05-11)</h2>
<p>Full Changelog: <a href="https://github.com/openai/openai-node/compare/v4.44.0...v4.45.0">v4.44.0...v4.45.0</a></p>
<h3>Features</h3>
<ul>
<li><strong>azure:</strong> batch api (<a href="https://redirect.github.com/openai/openai-node/issues/839">#839</a>) (<a href="https://github.com/openai/openai-node/commit/e279f8c51aa80cb913ccb6df647407bea1f2f071">e279f8c</a>)</li>
</ul>
<h3>Chores</h3>
<ul>
<li><strong>dependency:</strong> bumped Next.js version (<a href="https://redirect.github.com/openai/openai-node/issues/836">#836</a>) (<a href="https://github.com/openai/openai-node/commit/babb1404751059bdd171b792d03fd21272dd8f8b">babb140</a>)</li>
<li><strong>docs:</strong> add SECURITY.md (<a href="https://redirect.github.com/openai/openai-node/issues/838">#838</a>) (<a href="https://github.com/openai/openai-node/commit/6e556d9e12341155cc13fe226ab110d63858370e">6e556d9</a>)</li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/openai/openai-node/commit/d7d5610d91573740d7e3c27e4afde5650ee6e349"><code>d7d5610</code></a> Merge pull request <a href="https://redirect.github.com/openai/openai-node/issues/849">#849</a> from openai/release-please--branches--master--changes...</li>
<li><a href="https://github.com/openai/openai-node/commit/7376041eb470b6d8db0229d4336eda5a658b66e0"><code>7376041</code></a> release: 4.47.1</li>
<li><a href="https://github.com/openai/openai-node/commit/139e690546775b3568934dd990dd329fce2fbc2f"><code>139e690</code></a> chore(internal): add slightly better logging to scripts (<a href="https://redirect.github.com/openai/openai-node/issues/848">#848</a>)</li>
<li><a href="https://github.com/openai/openai-node/commit/2b1bc88639f327053a16fae0d2a5edbd006dd6a3"><code>2b1bc88</code></a> release: 4.47.0</li>
<li><a href="https://github.com/openai/openai-node/commit/8701aa6d5e0c8f9c4c6c5b6f748cf1947c922426"><code>8701aa6</code></a> feat(api): add incomplete state (<a href="https://redirect.github.com/openai/openai-node/issues/846">#846</a>)</li>
<li><a href="https://github.com/openai/openai-node/commit/3f4b74387c0f1619b4f19e47e89bc1cdf403676b"><code>3f4b743</code></a> release: 4.46.1</li>
<li><a href="https://github.com/openai/openai-node/commit/c17fcb789f8b40dd8360c2680a34e96dbde8a97f"><code>c17fcb7</code></a> refactor: change import paths to be relative (<a href="https://redirect.github.com/openai/openai-node/issues/843">#843</a>)</li>
<li><a href="https://github.com/openai/openai-node/commit/65bcdfe118356e12f567675aff4c99d8ff959b11"><code>65bcdfe</code></a> release: 4.46.0</li>
<li><a href="https://github.com/openai/openai-node/commit/5b0a67cd666733ca4ee3454f2a53beda03198954"><code>5b0a67c</code></a> feat(api): add gpt-4o model (<a href="https://redirect.github.com/openai/openai-node/issues/841">#841</a>)</li>
<li><a href="https://github.com/openai/openai-node/commit/95f36906427a7590a14c4b181215e3b4eec5a7c9"><code>95f3690</code></a> Merge pull request <a href="https://redirect.github.com/openai/openai-node/issues/837">#837</a> from openai/release-please--branches--master--changes...</li>
<li>Additional commits viewable in <a href="https://github.com/openai/openai-node/compare/v4.44.0...v4.47.1">compare view</a></li>
</ul>
</details>
<br />

Updates `@types/react` from 18.3.1 to 18.3.2
<details>
<summary>Commits</summary>
<ul>
<li>See full diff in <a href="https://github.com/DefinitelyTyped/DefinitelyTyped/commits/HEAD/types/react">compare view</a></li>
</ul>
</details>
<br />


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[//]: # (dependabot-automerge-start)
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---

<details>
<summary>Dependabot commands and options</summary>
<br />

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</details>

examples/nextjs-14-openai/package.json

@@ -10,9 +10,9 @@
   },
   "dependencies": {
     "@arcjet/next": "file:../../arcjet-next",
-    "ai": "^3.1.5",
+    "ai": "^3.1.8",
     "next": "^14.2.3",
-    "openai": "^4.38.1",
+    "openai": "^4.47.1",
     "openai-chat-tokens": "^0.2.8",
     "react": "^18",
     "react-dom": "^18"