Flaky Test: CoordinatorPauseTest

```
bedded-tests/target/test-classes/org/apache/druid/testing/embedded/server/CoordinatorPauseTest.class:118 | Timed out waiting for event after [10,000]ms 12.891s
ℹ️ Posting with conclusion 'failure' to https://github.com/apache/druid/pull/19311 (sha: 808ae8f93ee1a3f33dd48ecc1750cf689d82b4b2)
🚀 Publish results
ℹ️ - Test Report - test-jdk25-[C*] - 12269 tests run, 11998 passed, 270 skipped, 1 failed.
🧪 - embedded-tests/target/test-classes/org/apache/druid/testing/embedded/server/CoordinatorPauseTest.class | Timed out waiting for event after [10,000]ms
Error: Timed out waiting for event aft

er [10,000]ms
⏩ Skipped creation of job summary
Error: ❌ Tests reported 1 failures

```

Start with embedded-tests/target/test-classes/org/apache/druid/testing/embedded/server/CoordinatorPauseTest.class:118 and reproduce the reported timeout in the JDK 25 test run. Trace the event wait and test setup to identify why the event is missed; done means CoordinatorPauseTest completes reliably without the 10,000 ms timeout.

Written by the indexing model from the issue text.