[storage-file-datalake] Migrate to core-rest-pipeline (#24835)

### Packages impacted by this PR

`@azure/storage-file-datalake`

### Issues associated with this PR

#15813

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

This PR migrates storage-file-datalake to the new core pipeline in the
same fashion that storage-blob was recently migrated. There are no
changes to the public surface and existing recorded tests still pass.


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

#24141

Author: xirzec

sdk/storage/storage-blob/CHANGELOG.md

@@ -1,5 +1,17 @@
 # Release History
 
+## 12.20.0 (Unreleased)
+
+### Features Added
+
+### Breaking Changes
+
+### Bugs Fixed
+
+### Other Changes
+
+- Migrated dependency on `@azure/core-http` to `@azure/core-rest-pipeline`.
+
 ## 12.13.0 (Unreleased)
 
 ### Features Added

sdk/storage/storage-blob/package.json

@@ -1,7 +1,7 @@
 {
   "name": "@azure/storage-blob",
   "sdk-type": "client",
-  "version": "12.13.0",
+  "version": "12.20.0",
   "description": "Microsoft Azure Storage SDK for JavaScript - Blob",
   "main": "./dist/index.js",
   "module": "./dist-esm/storage-blob/src/index.js",

sdk/storage/storage-file-datalake/CHANGELOG.md

@@ -1,5 +1,17 @@
 # Release History
 
+## 12.20.0 (Unreleased)
+
+### Features Added
+
+### Breaking Changes
+
+### Bugs Fixed
+
+### Other Changes
+
+- Migrated dependency on `@azure/core-http` to `@azure/core-rest-pipeline`.
+
 ## 12.12.0 (Unreleased)
 
 ### Features Added

sdk/storage/storage-file-datalake/package.json

@@ -1,6 +1,6 @@
 {
   "name": "@azure/storage-file-datalake",
-  "version": "12.12.0",
+  "version": "12.20.0",
   "description": "Microsoft Azure Storage SDK for JavaScript - DataLake",
   "sdk-type": "client",
   "main": "./dist/index.js",
@@ -118,11 +118,15 @@
   },
   "dependencies": {
     "@azure/abort-controller": "^1.0.0",
-    "@azure/core-http": "^3.0.0",
+    "@azure/core-auth": "^1.4.0",
+    "@azure/core-client": "^1.6.2",
+    "@azure/core-http-compat": "^2.0.0",
     "@azure/core-paging": "^1.1.1",
+    "@azure/core-rest-pipeline": "^1.10.1",
     "@azure/core-tracing": "1.0.0-preview.13",
+    "@azure/core-util": "^1.1.1",
     "@azure/logger": "^1.0.0",
-    "@azure/storage-blob": "^12.12.0",
+    "@azure/storage-blob": "^12.20.0",
     "events": "^3.0.0",
     "tslib": "^2.2.0"
   },