[Contoso.Management] Use ArmResourcePatchSync instead of ArmCustomPatchSync (#31279)

- Recommended to use ArmResourcePatchSync when possible

Author: mikeharder

specification/contosowidgetmanager/Contoso.Management/employee.tsp

@@ -56,13 +56,7 @@ union ProvisioningState {
 interface Employees {
   get is ArmResourceRead<Employee>;
   createOrUpdate is ArmResourceCreateOrReplaceAsync<Employee>;
-  update is ArmCustomPatchSync<
-    Employee,
-    Azure.ResourceManager.Foundations.ResourceUpdateModel<
-      Employee,
-      EmployeeProperties
-    >
-  >;
+  update is ArmResourcePatchSync<Employee, EmployeeProperties>;
   delete is ArmResourceDeleteWithoutOkAsync<Employee>;
   listByResourceGroup is ArmResourceListByParent<Employee>;
   listBySubscription is ArmListBySubscription<Employee>;

specification/contosowidgetmanager/Contoso.Management/tspconfig.yaml

@@ -9,7 +9,6 @@ options:
     emitter-output-dir: "{project-root}/.."
     azure-resource-provider-folder: "resource-manager"
     output-file: "{azure-resource-provider-folder}/{service-name}/{version-status}/{version}/contoso.json"
-    emit-common-types-schema: "never"
   "@azure-tools/typespec-csharp":
     flavor: azure
     package-dir: "Azure.ResourceManager.Contoso"

specification/contosowidgetmanager/resource-manager/Microsoft.Contoso/preview/2021-10-01-preview/contoso.json

@@ -402,6 +402,24 @@
     }
   },
   "definitions": {
+    "Azure.ResourceManager.CommonTypes.TrackedResourceUpdate": {
+      "type": "object",
+      "description": "The resource model definition for an Azure Resource Manager tracked top level resource which has 'tags' and a 'location'",
+      "properties": {
+        "tags": {
+          "type": "object",
+          "description": "Resource tags.",
+          "additionalProperties": {
+            "type": "string"
+          }
+        }
+      },
+      "allOf": [
+        {
+          "$ref": "../../../../../common-types/resource-management/v5/types.json#/definitions/Resource"
+        }
+      ]
+    },
     "Employee": {
       "type": "object",
       "description": "Employee resource",
@@ -465,40 +483,18 @@
     },
     "EmployeeUpdate": {
       "type": "object",
-      "description": "The type used for update operations of the Employee.",
+      "description": "Employee resource",
       "properties": {
-        "tags": {
-          "type": "object",
-          "description": "Resource tags.",
-          "additionalProperties": {
-            "type": "string"
-          }
-        },
         "properties": {
-          "$ref": "#/definitions/EmployeeUpdateProperties",
+          "$ref": "#/definitions/EmployeeProperties",
           "description": "The resource-specific properties for this resource."
         }
-      }
-    },
-    "EmployeeUpdateProperties": {
-      "type": "object",
-      "description": "The updatable properties of the Employee.",
-      "properties": {
-        "age": {
-          "type": "integer",
-          "format": "int32",
-          "description": "Age of employee"
-        },
-        "city": {
-          "type": "string",
-          "description": "City of employee"
-        },
-        "profile": {
-          "type": "string",
-          "format": "base64url",
-          "description": "Profile of employee"
+      },
+      "allOf": [
+        {
+          "$ref": "#/definitions/Azure.ResourceManager.CommonTypes.TrackedResourceUpdate"
         }
-      }
+      ]
     },
     "ProvisioningState": {
       "type": "string",