[purview] Migrate @azure-rest/purview-sharing to ESM/vitest (#31899)

### Packages impacted by this PR

- @azure-rest/purview-sharing

### Issues associated with this PR

- #31338

### Describe the problem that is addressed by this PR

Migrates the @azure-rest/purview-sharing package to ESM/vitest via
automation.

### What are the possible designs available to address the problem? If
there are more than one possible design, why was the one in this PR
chosen?


### Are there test cases added in this PR? _(If not, why?)_


### Provide a list of related PRs _(if any)_


### Command used to generate this PR:**_(Applicable only to SDK release
request PRs)_

### Checklists
- [ ] Added impacted package name to the issue description
- [ ] Does this PR needs any fixes in the SDK Generator?** _(If so,
create an Issue in the
[Autorest/typescript](https://github.com/Azure/autorest.typescript)
repository and link it here)_
- [ ] Added a changelog (if necessary)

sdk/purview/purview-sharing-rest/README.md

@@ -50,7 +50,7 @@ AZURE_CLIENT_ID, AZURE_TENANT_ID, AZURE_CLIENT_SECRET
 
 Enabling logging may help uncover useful information about failures. In order to see a log of HTTP requests and responses, set the `AZURE_LOG_LEVEL` environment variable to `info`. Alternatively, logging can be enabled at runtime by calling `setLogLevel` in the `@azure/logger`:
 
-```javascript
+```ts
 const { setLogLevel } = require("@azure/logger");
 
 setLogLevel("info");

sdk/purview/purview-sharing-rest/api-extractor.json

@@ -1,18 +1,31 @@
 {
   "$schema": "https://developer.microsoft.com/json-schemas/api-extractor/v7/api-extractor.schema.json",
-  "mainEntryPointFilePath": "./types/src/index.d.ts",
-  "docModel": { "enabled": true },
-  "apiReport": { "enabled": true, "reportFolder": "./review" },
+  "mainEntryPointFilePath": "dist/esm/index.d.ts",
+  "docModel": {
+    "enabled": true
+  },
+  "apiReport": {
+    "enabled": true,
+    "reportFolder": "./review"
+  },
   "dtsRollup": {
     "enabled": true,
     "untrimmedFilePath": "",
-    "publicTrimmedFilePath": "./types/purview-sharing.d.ts"
+    "publicTrimmedFilePath": "dist/purview-sharing.d.ts"
   },
   "messages": {
-    "tsdocMessageReporting": { "default": { "logLevel": "none" } },
+    "tsdocMessageReporting": {
+      "default": {
+        "logLevel": "none"
+      }
+    },
     "extractorMessageReporting": {
-      "ae-missing-release-tag": { "logLevel": "none" },
-      "ae-unresolved-link": { "logLevel": "none" }
+      "ae-missing-release-tag": {
+        "logLevel": "none"
+      },
+      "ae-unresolved-link": {
+        "logLevel": "none"
+      }
     }
   }
 }