[CI] EqlRestValidationIT testAllowNoIndicesOption failing

[elasticsearchmachine]

Build Scans:

• elasticsearch-intake #11302 / part3
• elasticsearch-intake #11274 / part3
• elasticsearch-intake #11231 / part3
• elasticsearch-intake #11217 / part3

Reproduction Line:

./gradlew ":x-pack:plugin:eql:qa:rest:javaRestTest" --tests "org.elasticsearch.xpack.eql.EqlRestValidationIT.testAllowNoIndicesOption" -Dtests.seed=9D67B56788FB3741 -Dtests.locale=da-DK -Dtests.timezone=Pacific/Noumea -Druntime.java=22

Applicable branches:
8.x

Reproduces locally?:
N/A

Failure History:
See dashboard

Failure Message:

org.elasticsearch.client.WarningFailureException: method [DELETE], host [http://[::1]:45181], URI [*,-.ds-ilm-history-*,-.ds-.slm-history-*,-.ds-.watcher-history-*?expand_wildcards=open%2Cclosed%2Chidden], status line [HTTP/1.1 200 OK]
Warnings: [this request accesses system indices: [.inference], but in a future major version, direct access to system indices will be prevented by default]
{"acknowledged":true}

Issue Reasons:

• [8.x] 4 failures in test testAllowNoIndicesOption (0.9% fail rate in 456 executions)
• [8.x] 4 failures in step part3 (10.5% fail rate in 38 executions)
• [8.x] 4 failures in pipeline elasticsearch-intake (10.3% fail rate in 39 executions)

Note:
This issue was created using new test triage automation. Please report issues or feedback to es-delivery.

[elasticsearchmachine]

This has been muted on branch main

Mute Reasons:

• [main] 2 failures in test testAllowNoIndicesOption (0.3% fail rate in 589 executions)

Build Scans:

• elasticsearch-periodic-platform-support #4393 / windows-2019_checkpart3_platform-support-windows
• elasticsearch-pull-request #36349 / part-3

[elasticsearchmachine]

Pinging @elastic/es-analytical-engine (Team:Analytics)

[davidkyle]

Same as #114748

[elasticsearchmachine]

Pinging @elastic/ml-core (Team:ML)