[CI] ServerSentEventsRestActionListenerTests testNoStream failing

[elasticsearchmachine]

Build Scans:

• elasticsearch-periodic-platform-support #11393 / ubuntu-2204_platform-support-unix
• elasticsearch-periodic-platform-support #11393 / ubuntu-2404_platform-support-unix
• elasticsearch-periodic-platform-support #11393 / opensuse-leap-15_platform-support-unix
• elasticsearch-periodic-java-ea #77 / encryption-at-rest

Reproduction Line:

./gradlew ":x-pack:plugin:inference:internalClusterTest" --tests "org.elasticsearch.xpack.inference.rest.ServerSentEventsRestActionListenerTests.testNoStream" -Dtests.seed=782A2AED2CFBC739 -Dtests.locale=ky -Dtests.timezone=SystemV/MST7 -Druntime.java=25

Applicable branches:
main

Reproduces locally?:
N/A

Failure History:
See dashboard

Failure Message:

java.lang.AssertionError: 
Expected: an empty collection
     but: <[LEAK: resource was not cleaned up before it was garbage-collected.
Recent access records: 
#1:
	in [elasticsearch[node_s_0][system_read][T#1]][testStore_OverwritesConfiguration_WhenItAlreadyExists]
	org.elasticsearch.action.search.SearchResponseSections.close(SearchResponseSections.java:100)
	org.elasticsearch.core.Releasables.close(Releasables.java:39)
	org.elasticsearch.core.Releasables.closeExpectNoException(Releasables.java:72)
	org.elasticsearch.action.ActionListenerImplementations$2.run(ActionListenerImplementations.java:51)
	org.elasticsearch.action.ActionListener$1.onResponse(ActionListener.java:218)
	org.elasticsearch.action.ActionListener$3.onResponse(ActionListener.java:413)
	org.elasticsearch.action.support.SubscribableListener$SuccessResult.complete(SubscribableListener.java:406)
	org.elasticsearch.action.support.SubscribableListener.tryComplete(SubscribableListener.java:326)
	org.elasticsearch.action.sup
[truncated]

Issue Reasons:

• [main] 4 failures in test testNoStream (2.8% fail rate in 142 executions)

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

[elasticsearchmachine]

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

[jonathan-buttner]

#137839