Update deprecation_process.md (Azure#38270)

Adding a section on:
- adding the artifact to the ci before release
- skipping checks for other failing packages in the pipeline for release if needed

Author: swathipil

.vscode/cspell.json

@@ -187,7 +187,9 @@
     "azurecr",
     "azuremgmtcore",
     "azuremgmtcommunication",
+    "azuremypackage",
     "bdist",
+    "Beddall",
     "bstr",
     "byref",
     "cdll",
@@ -241,8 +243,10 @@
     "fileno",
     "fqdns",
     "fstat",
+    "Ganguly",
     "gbps",
     "GCCH",
+    "Geraghty",
     "getsizeof",
     "graphrbac",
     "gmtime",
@@ -319,6 +323,8 @@
     "myacr",
     "mydirectory",
     "myfile",
+    "mynewpackage",
+    "mypackage",
     "myvault",
     "mytable",
     "nazsdk",
@@ -343,6 +349,7 @@
     "ownerid",
     "PBYTE",
     "PCREDENTIAL",
+    "pepy",
     "perfmon",
     "perfstress",
     "perfstressdebug",
@@ -371,6 +378,9 @@
     "pyversion",
     "RAGRS",
     "rdbms",
+    "rgeraghty",
+    "Rohit",
+    "rohitganguly",
     "reauthenticated",
     "reimage",
     "revascularization",
@@ -446,6 +456,7 @@
     "volcz",
     "vsts",
     "wchar",
+    "wesh",
     "westcentralus",
     "westus",
     "wfile",

doc/deprecation_process.md

@@ -99,6 +99,20 @@ Replace ALL existing text with a disclaimer in the following format.
 
 - Update the `Development Status` classifier in `setup.py` to `Development Status :: 7 - Inactive`.
   - `Inactive` packages are disabled from most CI verification such as tests/mypy/pylint/etc., therefore the CI should be faster and have fewer requirements.
+ 
+## ci.yml
+
+- Ensure the package is listed under `Artifacts` so that the artifact is generated for release. If not listed, add it.
+
+ ```yml
+  extends:
+    parameters:
+      ...
+      Artifacts:
+      - name: azure-mypackage
+        safeName: azuremypackage
+  ```
+
 
 # Step 2: Resolve all open issues/PRs corresponding to the library.
 
@@ -145,6 +159,10 @@ A release here is the same as usual, triggering the release pipeline of your SDK
 
 **Note: This release DOES NOT need to be done during during release week and can be done any time.**
 
+### Checks Failing on Other Packages
+
+You may see tests/mypy/pylint or other checks failing on other packages in the CI when releasing. To unblock the release of the deprecated package, you may add one or more `Skip.*` variables when you 'Run pipeline' to skip these checks. The `Skip.*` variables for all checks are listed [here](https://github.com/Azure/azure-sdk-for-python/blob/dc283ae7e8f7fe3bb1db8f27315d589e88bdf453/doc/eng_sys_checks.md?plain=1#L76).
+
 ## Post-Release
 
 Check to make sure that the new version of the package has been released on PyPI.