[CI] DesiredNodesUpgradeIT testUpgradeDesiredNodes {upgradedNodes=2} failing

[elasticsearchmachine]

Build Scans:

• elasticsearch-periodic #4665 / 8.13.4_bwc
• elasticsearch-periodic #4660 / openjdk17_8.16.0_java-matrix-bwc

Reproduction Line:

./gradlew ":qa:rolling-upgrade:v8.13.4#bwcTest" -Dtests.class="org.elasticsearch.upgrades.DesiredNodesUpgradeIT" -Dtests.method="testUpgradeDesiredNodes {upgradedNodes=2}" -Dtests.seed=B652AF7DB9AE97C9 -Dtests.bwc=true -Dtests.locale=es-NI -Dtests.timezone=GB -Druntime.java=23

Applicable branches:
8.16

Reproduces locally?:
N/A

Failure History:
See dashboard

Failure Message:

org.elasticsearch.client.ResponseException: method [PUT], host [http://[::1]:36339], URI [/_internal/desired_nodes/upgrade_test/3], status line [HTTP/1.1 400 Bad Request]
{"error":{"root_cause":[{"type":"illegal_argument_exception","reason":"Some nodes contain the same setting value [test-cluster-0, test-cluster-1] for [node.external_id]"}],"type":"illegal_argument_exception","reason":"Some nodes contain the same setting value [test-cluster-0, test-cluster-1] for [node.external_id]"},"status":400}

Issue Reasons:

• [8.16] 2 failures in test testUpgradeDesiredNodes {upgradedNodes=2} (2.2% fail rate in 91 executions)
• [8.16] 2 failures in pipeline elasticsearch-periodic (50.0% fail rate in 4 executions)

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

[elasticsearchmachine]

Pinging @elastic/es-core-infra (Team:Core/Infra)