Bump pip from 25.1 to 25.1.1 (#10819)

Bumps [pip](https://github.com/pypa/pip) from 25.1 to 25.1.1.
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a
href="https://github.com/pypa/pip/blob/main/NEWS.rst">pip's
changelog</a>.</em></p>
<blockquote>
<h1>25.1.1 (2025-05-02)</h1>
<h2>Bug Fixes</h2>
<ul>
<li>Fix <code>req.source_dir</code> AssertionError when using the legacy
resolver. (<code>[#13353](pypa/pip#13353)
&lt;https://github.com/pypa/pip/issues/13353&gt;</code>_)</li>
<li>Fix crash on Python 3.9.6 and lower when pip failed to compile a
Python module
during installation.
(<code>[#13364](pypa/pip#13364)
&lt;https://github.com/pypa/pip/issues/13364&gt;</code>_)</li>
<li>Names in dependency group includes are now normalized before lookup,
which
fixes incorrect <code>Dependency group '...' not found</code> errors.
(<code>[#13372](pypa/pip#13372)
&lt;https://github.com/pypa/pip/issues/13372&gt;</code>_)</li>
</ul>
<h2>Vendored Libraries</h2>
<ul>
<li>Fix issues with using tomllib from the stdlib if available, rather
than tomli</li>
<li>Upgrade dependency-groups to 1.3.1</li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a
href="https://github.com/pypa/pip/commit/01857ef79f59a98db592bacb6e7b48f354528c80"><code>01857ef</code></a>
Bump for release</li>
<li><a
href="https://github.com/pypa/pip/commit/08d8bb91e2c7734f98f828e28215aba15784012a"><code>08d8bb9</code></a>
Merge pull request <a
href="https://redirect.github.com/pypa/pip/issues/13374">#13374</a> from
pfmoore/fixups</li>
<li><a
href="https://github.com/pypa/pip/commit/2bff84e495a3d31008088c168c5ab9bfa633a172"><code>2bff84e</code></a>
Merge pull request <a
href="https://redirect.github.com/pypa/pip/issues/13363">#13363</a> from
sbidoul/fix-source_dir-assert</li>
<li><a
href="https://github.com/pypa/pip/commit/644e71d6e339035836dce0adbf59f881b334e186"><code>644e71d</code></a>
News file fixups</li>
<li><a
href="https://github.com/pypa/pip/commit/426856f496a8f84f1e36fded83b3d5e74968a786"><code>426856f</code></a>
Merge pull request <a
href="https://redirect.github.com/pypa/pip/issues/13364">#13364</a> from
ichard26/bugfix/python39</li>
<li><a
href="https://github.com/pypa/pip/commit/b7e3aead483baf42ca00e29b9758338ad19c130b"><code>b7e3aea</code></a>
Merge pull request <a
href="https://redirect.github.com/pypa/pip/issues/13356">#13356</a> from
eli-schwartz/tomllib</li>
<li><a
href="https://github.com/pypa/pip/commit/8c678fe85daaf11d8dd6a43b7835088513944655"><code>8c678fe</code></a>
Merge pull request <a
href="https://redirect.github.com/pypa/pip/issues/13373">#13373</a> from
sirosen/update-vendored-dependency-groups</li>
<li><a
href="https://github.com/pypa/pip/commit/7d006399c0d0d38e55d56a6b0732e959bf75f796"><code>7d00639</code></a>
Update newsfiles for dependency-groups patch</li>
<li><a
href="https://github.com/pypa/pip/commit/6d28bbf065a292f67d3d66d8f47fba15a1a2d512"><code>6d28bbf</code></a>
Update version of <code>dependency-groups</code> to v1.3.1</li>
<li><a
href="https://github.com/pypa/pip/commit/94bd66d615d5f9036c53196f4f2acb7c71d5010c"><code>94bd66d</code></a>
Revert StreamWrapper removal to restore Python 3.9.{0,6} compat</li>
<li>Additional commits viewable in <a
href="https://github.com/pypa/pip/compare/25.1...25.1.1">compare
view</a></li>
</ul>
</details>
<br />


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requirements/constraints.txt

@@ -294,7 +294,7 @@ zlib-ng==0.5.1
     #   -r requirements/test.in
 
 # The following packages are considered to be unsafe in a requirements file:
-pip==25.1
+pip==25.1.1
     # via pip-tools
 setuptools==80.1.0
     # via

requirements/dev.txt

@@ -285,7 +285,7 @@ zlib-ng==0.5.1
     #   -r requirements/test.in
 
 # The following packages are considered to be unsafe in a requirements file:
-pip==25.1
+pip==25.1.1
     # via pip-tools
 setuptools==80.1.0
     # via