release: Release opentelemetry-instrumentation-logger 0.1.0 (initial release) (open-telemetry#1729)

* release: Release opentelemetry-instrumentation-logger 0.1.0 (initial release)

* chore: Fix markdownlint warning

Link text should be descriptive, previously used 'here'

* Update CHANGELOG.md

---------

Co-authored-by: otelbot <[email protected]>
Co-authored-by: Kayla Reopelle <[email protected]>
Co-authored-by: Kayla Reopelle <[email protected]>

Author: 3 people

instrumentation/logger/CHANGELOG.md

@@ -1 +1,5 @@
 # Release History: opentelemetry-instrumentation-logger
+
+### v0.1.0 / 2025-10-09
+
+Initial release.

instrumentation/logger/README.md

@@ -32,7 +32,7 @@ end
 
 ## Examples
 
-Example usage can be seen in the `./example/logger.rb` file [here](https://github.com/open-telemetry/opentelemetry-ruby-contrib/blob/main/instrumentation/logger/example/logger.rb)
+Example usage can be [found in the `./example/logger.rb` file](example/logger.rb).
 
 ## Development