Update CHANGELOG.md for 0.5.6 release (#12750)

* Update CHANGELOG.md for version 0.5.6 release

Author: Copilot

tools/azsdk-cli/Azure.Sdk.Tools.Cli/CHANGELOG.md

@@ -1,17 +1,12 @@
 # Release History
 
-## 0.5.6 (Unreleased)
+## 0.5.6 (2025-11-03)
 
 ### Features Added
 
 - Sample generator: Add support for user-defined additional context
 - Sample generator: Add support for input prompts with local links
-
-### Breaking Changes
-
-### Bugs Fixed
-
-### Other Changes
+- Updated responses to include language and package name in telemetry.
 
 ## 0.5.5 (2025-10-28)