Update changelog (#41071)

Author: xiangyan99

sdk/identity/azure-identity/CHANGELOG.md

@@ -1,19 +1,13 @@
 # Release History
 
-## 1.23.0 (Unreleased)
+## 1.23.0 (2025-05-13)
 
 ### Features Added
 
 - Added `AZURE_TOKEN_CREDENTIALS` environment variable to `DefaultAzureCredential` to allow for choosing groups of credentials.
   - `prod` for `EnvironmentCredential`, `WorkloadIdentityCredential`,  and `ManagedIdentityCredential`.
   - `dev` for `SharedTokenCacheCredential`, `AzureCliCredential`, `AzurePowershellCredential`, and `AzureDeveloperCliCredential`.
 
-### Breaking Changes
-
-### Bugs Fixed
-
-### Other Changes
-
 ## 1.22.0 (2025-05-06)
 
 ### Breaking Changes