CI Failure (key symptom) in `ClusterConfigClusterIdTest.test_cluster_id`

[vbotbuildovich]

https://buildkite.com/redpanda/vtools/builds/14984 https://buildkite.com/redpanda/vtools/builds/14999

Module: rptest.tests.cluster_config_test
Class: ClusterConfigClusterIdTest
Method: test_cluster_id

test_id:    ClusterConfigClusterIdTest.test_cluster_id
status:     FAIL
run time:   5.522 seconds

TypeError("cannot pickle '_thread.lock' object")
Traceback (most recent call last):
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/ducktape/tests/runner_client.py", line 182, in _do_run
    self.setup_test()
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/ducktape/tests/runner_client.py", line 267, in setup_test
    self.test.setup()
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/ducktape/tests/test.py", line 91, in setup
    self.setUp()
  File "/home/ubuntu/redpanda/tests/rptest/tests/redpanda_test.py", line 39, in setUp
    self.__redpanda.start()
  File "/home/ubuntu/redpanda/tests/rptest/services/redpanda.py", line 2713, in start
    self.for_nodes(to_start, start_one)
  File "/home/ubuntu/redpanda/tests/rptest/services/redpanda.py", line 1483, in for_nodes
    return list(executor.map(cb, nodes))
  File "/usr/lib/python3.10/concurrent/futures/_base.py", line 621, in result_iterator
    yield _result_or_cancel(fs.pop())
  File "/usr/lib/python3.10/concurrent/futures/_base.py", line 319, in _result_or_cancel
    return fut.result(timeout)
  File "/usr/lib/python3.10/concurrent/futures/_base.py", line 458, in result
    return self.__get_result()
  File "/usr/lib/python3.10/concurrent/futures/_base.py", line 403, in __get_result
    raise self._exception
  File "/usr/lib/python3.10/concurrent/futures/thread.py", line 58, in run
    result = self.fn(*self.args, **self.kwargs)
  File "/home/ubuntu/redpanda/tests/rptest/services/redpanda.py", line 2705, in start_one
    self.start_node(node,
  File "/home/ubuntu/redpanda/tests/rptest/services/redpanda.py", line 3015, in start_node
    self.write_node_conf_file(
  File "/home/ubuntu/redpanda/tests/rptest/services/redpanda.py", line 3982, in write_node_conf_file
    conf = yaml.dump(doc)
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/yaml/__init__.py", line 253, in dump
    return dump_all([data], stream, Dumper=Dumper, **kwds)
  File "/opt/.ducktape-venv/lib/python3.10/site-packages/yaml/__init__.py", line 241, in dump_all
    dumper.represent(data)
TypeError: cannot pickle '_thread.lock' object

JIRA Link: CORE-5041