Bump google-genai from 1.65.0 to 1.66.0 in /backend in the production-dependencies group (#386)

Bumps the production-dependencies group in /backend with 1 update:
[google-genai](https://github.com/googleapis/python-genai).

Updates `google-genai` from 1.65.0 to 1.66.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a
href="https://github.com/googleapis/python-genai/releases">google-genai's
releases</a>.</em></p>
<blockquote>
<h2>v1.66.0</h2>
<h2><a
href="https://github.com/googleapis/python-genai/compare/v1.65.0...v1.66.0">1.66.0</a>
(2026-03-03)</h2>
<h3>Features</h3>
<ul>
<li>Add gemini-3.1-flash-image-preview model (<a
href="https://github.com/googleapis/python-genai/commit/dd52cc288be297e74cb689be9260b917ea90e06b">dd52cc2</a>)</li>
<li>Support signature for all Interaction tool types (<a
href="https://github.com/googleapis/python-genai/commit/abb388e9058fd8fa0d53bc0b265d68ce93a6f184">abb388e</a>)</li>
<li>Update data types from discovery doc. (<a
href="https://github.com/googleapis/python-genai/commit/15666c063488fcb4589624ef44b4c80281a9ee7b">15666c0</a>)</li>
</ul>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a
href="https://github.com/googleapis/python-genai/blob/main/CHANGELOG.md">google-genai's
changelog</a>.</em></p>
<blockquote>
<h2><a
href="https://github.com/googleapis/python-genai/compare/v1.65.0...v1.66.0">1.66.0</a>
(2026-03-03)</h2>
<h3>Features</h3>
<ul>
<li>Add gemini-3.1-flash-image-preview model (<a
href="https://github.com/googleapis/python-genai/commit/dd52cc288be297e74cb689be9260b917ea90e06b">dd52cc2</a>)</li>
<li>Support signature for all Interaction tool types (<a
href="https://github.com/googleapis/python-genai/commit/abb388e9058fd8fa0d53bc0b265d68ce93a6f184">abb388e</a>)</li>
<li>Update data types from discovery doc. (<a
href="https://github.com/googleapis/python-genai/commit/15666c063488fcb4589624ef44b4c80281a9ee7b">15666c0</a>)</li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a
href="https://github.com/googleapis/python-genai/commit/267f9ff4d401539359e8e806c8a7b5af0cdbc28c"><code>267f9ff</code></a>
chore(main): release 1.66.0 (<a
href="https://redirect.github.com/googleapis/python-genai/issues/2108">#2108</a>)</li>
<li><a
href="https://github.com/googleapis/python-genai/commit/6052dc3e8a5ad61eed6cf24868123cf1396b8408"><code>6052dc3</code></a>
chore: remove stainless headers</li>
<li><a
href="https://github.com/googleapis/python-genai/commit/15666c063488fcb4589624ef44b4c80281a9ee7b"><code>15666c0</code></a>
feat: Update data types from discovery doc.</li>
<li><a
href="https://github.com/googleapis/python-genai/commit/abb388e9058fd8fa0d53bc0b265d68ce93a6f184"><code>abb388e</code></a>
feat: Support signature for all Interaction tool types</li>
<li><a
href="https://github.com/googleapis/python-genai/commit/dd52cc288be297e74cb689be9260b917ea90e06b"><code>dd52cc2</code></a>
feat: Add gemini-3.1-flash-image-preview model</li>
<li><a
href="https://github.com/googleapis/python-genai/commit/f03640304bf4eb5f5980edb157d4fe5fcec06eef"><code>f036403</code></a>
chore: Updated docs</li>
<li>See full diff in <a
href="https://github.com/googleapis/python-genai/compare/v1.65.0...v1.66.0">compare
view</a></li>
</ul>
</details>
<br />


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backend/pyproject.toml

@@ -17,7 +17,7 @@ dependencies = [
     "azure-identity==1.25.2",
     "azure-storage-blob==12.28.0",
     "defusedxml==0.7.1",
-    "google-genai==1.65.0",
+    "google-genai==1.66.0",
     "python-dotenv==1.2.2",
 ]