Automatic merge from submit-queue (batch tested with PRs 62657, 63278, 62903, 63375). If you want to cherry-pick this change to another branch, please follow the instructions <a href="https://github.com/kubernetes/community/blob/master/contributors/devel/cherry-picks.md">here</a>.

Use new Azure SDK APIs for load balancer and public IP operations

**What this PR does / why we need it**:

#63063 updated Azure SDK to a stable version. After that, we should also update existing clients to use new SDK APIs.

Without this, public IP listing will be blocked forever in some case.

**Which issue(s) this PR fixes** *(optional, in `fixes #<issue number>(, fixes #<issue_number>, ...)` format, will close the issue(s) when PR gets merged)*:
Fixes #

**Special notes for your reviewer**:

A following PR will be sent for other interfaces, e.g. routes and NSGs.

**Release note**:

```release-note
NONE
```