Sync eng/common directory with azure-sdk-tools for PR 12531 (#43765)

* prompt

* this

* line

* update bens suggestions

* update

* remove try to find pkg path logic

* Update eng/common/instructions/azsdk-tools/check-package-validation.instructions.md

Co-authored-by: Ben Broderick Phillips <[email protected]>

* path

* updates

* list numbering incorrect

* linting

---------

Co-authored-by: l0lawrence <[email protected]>
Co-authored-by: Ben Broderick Phillips <[email protected]>

Author: 3 people

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

@@ -0,0 +1,23 @@
+---
+description: 'Run the package validation checks for the SDK package.'
+---
+## Goal
+Run the validation checks for the SDK package by collecting the required information from the user and executing the `azsdk_package_run_check` tool.
+
+## Instructions
+1. **Collect Required Information**:
+    - Prompt the user for the absolute package path to the package directory for the SDK package they want to check.
+    - Prompt the user to specify values for each of the parameters required by the azsdk_package_run_check tool. Present the user with options to pick from for the allowed values specified by the parameter schema.
+
+2. **Execute Check**:
+    - Use the `azsdk_package_run_check` tool with the package path and check type.
+
+3. **Present Results**:
+    - If the package has passed all validation checks, highlight and finish
+    - If the package is not ready, display the specific check types that need to be fixed for each language.
+
+## Expected User Interaction Flow
+1. Ask: "What is the exact path of the package you want to check for validation?"
+2. Ask: "Please specify the check type you want to run (e.g., 'all', 'linting', 'format', etc.)"
+3. Execute the check using the provided information
+4. Display results and next steps