CI Failure (Failed to query spillover manifests) in `ShadowIndexingWhileBusyTest.test_create_or_delete_topics_while_busy`

[vbotbuildovich]

https://buildkite.com/redpanda/vtools/builds/12583

Module: rptest.tests.e2e_shadow_indexing_test
Class: ShadowIndexingWhileBusyTest
Method: test_create_or_delete_topics_while_busy
Arguments: {
    "short_retention": true,
    "cloud_storage_type": 1
}

test_id:    ShadowIndexingWhileBusyTest.test_create_or_delete_topics_while_busy
status:     FAIL
run time:   725.328 seconds

<BadLogLines nodes=ip-172-31-14-35(1) example="ERROR 2024-03-29 22:31:16,658 [shard 1:fetc] cloud_storage - [fiber8540 kafka/topic-iayrowopdj/1] - remote_partition.cc:596 - Failed to query spillover manifests: cloud_storage::error_outcome:10, query: {169}">
Traceback (most recent call last):
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/ducktape/tests/runner_client.py", line 184, in _do_run
    data = self.run_test()
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/ducktape/tests/runner_client.py", line 276, in run_test
    return self.test_context.function(self.test)
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/ducktape/mark/_mark.py", line 535, in wrapper
    return functools.partial(f, *args, **kwargs)(*w_args, **w_kwargs)
  File "/home/ubuntu/redpanda/tests/rptest/services/cluster.py", line 175, in wrapped
    redpanda.raise_on_bad_logs(
  File "/home/ubuntu/redpanda/tests/rptest/services/redpanda.py", line 1570, in raise_on_bad_logs
    raise BadLogLines(bad_lines)
rptest.services.utils.BadLogLines: <BadLogLines nodes=ip-172-31-14-35(1) example="ERROR 2024-03-29 22:31:16,658 [shard 1:fetc] cloud_storage - [fiber8540 kafka/topic-iayrowopdj/1] - remote_partition.cc:596 - Failed to query spillover manifests: cloud_storage::error_outcome:10, query: {169}">

JIRA Link: CORE-1958