Fix the remaining flakiness in the spec

What does this MR do and why?

There are still some places where we need to add delay to fix the flakiness.

Related: gitlab-org/quality/engineering-productivity/flaky-tests#2050 (closed)

gitlab-org/quality/engineering-productivity/flaky-tests#589 (closed)

gitlab-org/quality/engineering-productivity/flaky-tests#375 (closed)

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