Sync eng/common directory with azure-sdk-tools for PR 13134 (#36805)

Sync eng/common directory with azure-sdk-tools for PR
Azure/azure-sdk-tools#13134 See [eng/common
workflow](https://github.com/Azure/azure-sdk-tools/blob/main/eng/common/README.md#workflow)

---------

Co-authored-by: Juan Ospina <[email protected]>

Author: azure-sdk

eng/common/instructions/azsdk-tools/check-package-readiness.instructions.md

@@ -15,7 +15,7 @@ Check the release readiness of an SDK package by collecting the required informa
       - Go
 
 2. **Execute Readiness Check**:
-    - Use the `azsdk_check_package_release_readiness` tool with the provided package name and selected language
+    - Use the `azsdk_release_sdk` tool with the provided package name, selected language, and set checkReady to true.
     - Do not check for existing pull requests to run this step.
     - Do not ask the user to create a release plan to run this step.