[BUG] org.opensearch.action.bulk.BulkIntegrationIT.testDeleteIndexWhileIndexing flaky

[dblock]

Describe the bug

> Task :server:internalClusterTest

REPRODUCE WITH: ./gradlew ':server:internalClusterTest' --tests "org.opensearch.action.bulk.BulkIntegrationIT.testDeleteIndexWhileIndexing" -Dtests.seed=78AC02BBCA8E2D04 -Dtests.security.manager=true -Dtests.jvm.argline="-XX:TieredStopAtLevel=1 -XX:ReservedCodeCacheSize=64m" -Dtests.locale=vi -Dtests.timezone=America/Argentina/Mendoza -Druntime.java=19

org.opensearch.action.bulk.BulkIntegrationIT > testDeleteIndexWhileIndexing FAILED
    java.lang.AssertionError
        at __randomizedtesting.SeedInfo.seed([78AC02BBCA8E2D04:C7A75499894F54E2]:0)
        at org.junit.Assert.fail(Assert.java:87)
        at org.junit.Assert.assertTrue(Assert.java:42)
        at org.junit.Assert.assertFalse(Assert.java:65)
        at org.junit.Assert.assertFalse(Assert.java:75)
        at org.opensearch.action.bulk.BulkIntegrationIT.testDeleteIndexWhileIndexing(BulkIntegrationIT.java:222)

https://build.ci.opensearch.org/job/gradle-check/6635/consoleFull

#5159 (comment)