Bump byte-buddy-dep from 1.12.21 to 1.12.22 in /examples/distro (#7570)

Bumps [byte-buddy-dep](https://github.com/raphw/byte-buddy) from 1.12.21
to 1.12.22.
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a
href="https://github.com/raphw/byte-buddy/releases">byte-buddy-dep's
releases</a>.</em></p>
<blockquote>
<h2>Byte Buddy 1.12.22</h2>
<ul>
<li>Support <code>MethodHandle</code> and <code>MethodType</code> in
<code>Advice.Origin</code> annotation.</li>
<li>Support <code>MethodHandles.Lookup</code> in <code>Origin</code> and
<code>Advice.Origin</code> annotations.</li>
<li>Use modern API for Gradle Android API, if available, to avoid now
failing cast.</li>
</ul>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a
href="https://github.com/raphw/byte-buddy/blob/master/release-notes.md">byte-buddy-dep's
changelog</a>.</em></p>
<blockquote>
<h2>Byte Buddy release notes</h2>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a
href="641f5a329e"><code>641f5a3</code></a>
[maven-release-plugin] prepare release byte-buddy-1.12.22</li>
<li><a
href="d732497c77"><code>d732497</code></a>
[release] Release new version</li>
<li><a
href="cc7c5c207c"><code>cc7c5c2</code></a>
Adjust internal type hierarchy.</li>
<li><a
href="99e6861754"><code>99e6861</code></a>
Merge pull request <a
href="https://github-redirect.dependabot.com/raphw/byte-buddy/issues/1389">#1389</a>
from LikeTheSalad/master</li>
<li><a
href="6fe8a5c4ab"><code>6fe8a5c</code></a>
Using debug logs for DependenciesClasspathProvider</li>
<li><a
href="0ba7bd78ed"><code>0ba7bd7</code></a>
Added class headers</li>
<li><a
href="e8c15a67bc"><code>e8c15a6</code></a>
Using DependenciesClasspathProvider implementations</li>
<li><a
href="6ff15e3fda"><code>6ff15e3</code></a>
Created the DependenciesClasspathProvider interface and its
implementations</li>
<li><a
href="6a3facab94"><code>6a3faca</code></a>
Updated dependencies verification metadata</li>
<li><a
href="493eb7d1b7"><code>493eb7d</code></a>
Update to latest version.</li>
<li>Additional commits viewable in <a
href="https://github.com/raphw/byte-buddy/compare/byte-buddy-1.12.21...byte-buddy-1.12.22">compare
view</a></li>
</ul>
</details>
<br />


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examples/distro/build.gradle

@@ -33,7 +33,7 @@ subprojects {
       opentelemetryJavaagent     : "1.23.0-SNAPSHOT",
       opentelemetryJavaagentAlpha: "1.23.0-alpha-SNAPSHOT",
 
-      bytebuddy                  : "1.12.21",
+      bytebuddy                  : "1.12.22",
       autoservice                : "1.0.1",
       junit                      : "5.9.2"
     ]