Distro release 1.6.5 (Azure#39733)

* Distro release 1.6.5

* Fix wrong pr link

Author: jeremydvoss

sdk/monitor/azure-monitor-opentelemetry/CHANGELOG.md

@@ -1,6 +1,6 @@
 # Release History
 
-## 1.6.5 (Unreleased)
+## 1.6.5 (2025-02-14)
 
 ### Features Added
 
@@ -11,16 +11,10 @@
 - Distro to automatically configure event logger provider
     ([#38543](https://github.com/Azure/azure-sdk-for-python/pull/38543))
 - Configure live metrics first in pipeline to detect statsbeat usage
-    ([#37694](https://github.com/Azure/azure-sdk-for-python/pull/37694))
+    ([#38556](https://github.com/Azure/azure-sdk-for-python/pull/38556))
 - Ignore backoff warning from distro if in functions environment
     ([#38787](https://github.com/Azure/azure-sdk-for-python/pull/38787))
 
-### Breaking Changes
-
-### Bugs Fixed
-
-### Other Changes
-
 ## 1.6.4 (2024-11-06)
 
 ### Bugs Fixed