[3.5] chore(e2e): backport TestNoErrorLogsDuringNormalOperations test

[ghouscht]

Backport of https://github.com/etcd-io/etcd/pull/18806 to release-3.5 branch.

Please read https://github.com/etcd-io/etcd/blob/main/CONTRIBUTING.md#contribution-flow.

[k8s-ci-robot]

Hi @ghouscht. Thanks for your PR.

I'm waiting for a etcd-io member to verify that this patch is reasonable to test. If it is, they should reply with /ok-to-test on its own line. Until that is done, I will not automatically test new commits in this PR, but the usual testing commands by org members will still work. Regular contributors should join the org to skip this step.

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[ivanvc]

/retitle [3.5] chore(e2e): backport TestNoErrorLogsDuringNormalOperations test /ok-to-test

[k8s-ci-robot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: ahrtr, fuweid, ghouscht, serathius

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