feat: probe use built-in, discarded healthcheck.sh

[drivebyer]

Description

443, #766

Type of change

• New feature (non-breaking change which adds functionality)

Checklist

• [x] Tests have been added/modified and all tests pass.
• [x] Functionality/bugs have been confirmed to be unchanged or fixed.
• [x] I have performed a self-review of my own code.
• [ ] Documentation has been updated or added where necessary.

Additional Context

[codecov[bot]]

Codecov Report

Attention: Patch coverage is 0% with 19 lines in your changes are missing coverage. Please review.

Project coverage is 39.75%. Comparing base (d121d86) to head (b43c471). Report is 36 commits behind head on master.

:exclamation: Current head b43c471 differs from pull request most recent head 700b8dd. Consider uploading reports for the commit 700b8dd to get more accurate results

Files	Patch %	Lines
k8sutils/statefulset.go	0.00%	19 Missing :warning:

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #907 +/- ## ========================================== + Coverage 35.20% 39.75% +4.55% ========================================== Files 19 19 Lines 3213 2674 -539 ========================================== - Hits 1131 1063 -68 + Misses 2015 1540 -475 - Partials 67 71 +4 ```

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