Search operation test flakiness fix (opensearch-project#3602)

Search operation test flakiness fix
- opensearch-project#3426
- opensearch-project#2141
- opensearch-project#2169

Similar to this task:
opensearch-project#1917
From what I've noticed some logs are duplicated on faster machines.
During test creation audit logging results were added based on actual
results produced by tests. Now if there are slower moments where logging
produces non-duplicated logs, those were marked as failed.

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under the terms of the Apache 2.0 license.
For more information on following Developer Certificate of Origin and
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[here](https://github.com/opensearch-project/OpenSearch/blob/main/CONTRIBUTING.md#developer-certificate-of-origin).

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Signed-off-by: Maciej Mierzwa <[email protected]>
Signed-off-by: MaciejMierzwa <[email protected]>
(cherry picked from commit 9da4a78)