Merge #4568

4568: Update azure-core requirement from ~=1.25.0 to ~=1.25.1 r=jenshnielsen a=dependabot[bot]

Updates the requirements on [azure-core](https://github.com/Azure/azure-sdk-for-python) to permit the latest version.
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/Azure/azure-sdk-for-python/releases">azure-core's releases</a>.</em></p>
<blockquote>
<h2>azure-core_1.25.1</h2>
<h2>1.25.1 (2022-09-01)</h2>
<h3>Bugs Fixed</h3>
<ul>
<li>Added <a href="https://github.com/runtime"><code>`@​runtime</code></a>_checkable` to <code>TokenCredential</code> protocol definitions  <a href="https://github-redirect.dependabot.com/Azure/azure-sdk-for-python/issues/25187">#25187</a></li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/Azure/azure-sdk-for-python/commit/39bb01164ff8f7b86e176bd60f0f4566e169c2ab"><code>39bb011</code></a> update changelog (<a href="https://github-redirect.dependabot.com/Azure/azure-sdk-for-python/issues/25926">#25926</a>)</li>
<li><a href="https://github.com/Azure/azure-sdk-for-python/commit/7a82567d35ff75d0848553aaf892cf8a00914851"><code>7a82567</code></a> remove some deps (<a href="https://github-redirect.dependabot.com/Azure/azure-sdk-for-python/issues/25565">#25565</a>)</li>
<li><a href="https://github.com/Azure/azure-sdk-for-python/commit/388efaaa2b8f4a14a4c306dc5ea6f77f1ba7fa6b"><code>388efaa</code></a> [Core] Add runtime_checkable to protocol definitions (<a href="https://github-redirect.dependabot.com/Azure/azure-sdk-for-python/issues/25187">#25187</a>)</li>
<li><a href="https://github.com/Azure/azure-sdk-for-python/commit/35ddb4e53457e9e2bf7b7e0f5e97f0c0ea2c89e0"><code>35ddb4e</code></a> fix: typos, cspell config (<a href="https://github-redirect.dependabot.com/Azure/azure-sdk-for-python/issues/25611">#25611</a>)</li>
<li><a href="https://github.com/Azure/azure-sdk-for-python/commit/5815e624bb27884cd2778b1515c94ab84f325f02"><code>5815e62</code></a> [mgmt][core] upgrade min dependency for azure-core (<a href="https://github-redirect.dependabot.com/Azure/azure-sdk-for-python/issues/25103">#25103</a>)</li>
<li><a href="https://github.com/Azure/azure-sdk-for-python/commit/ca7ed7ead1e1a5bb4970e12f3c1fd4bc75426290"><code>ca7ed7e</code></a> Increment package version after release of azure-core (<a href="https://github-redirect.dependabot.com/Azure/azure-sdk-for-python/issues/25556">#25556</a>)</li>
<li>See full diff in <a href="https://github.com/Azure/azure-sdk-for-python/compare/azure-core_1.25.0...azure-core_1.25.1">compare view</a></li>
</ul>
</details>
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requirements.txt

@@ -5,7 +5,7 @@ asttokens~=2.0.8
 atomicwrites~=1.4.1
 attrs~=22.1.0
 autodocsumm~=0.2.9
-azure-core~=1.25.0
+azure-core~=1.25.1
 azure-identity~=1.10.0
 Babel~=2.10.3
 backcall~=0.2.0