Failure in CompactionEndToEndTest.test_basic_compaction (Key-exchange timed out waiting for key negotiation)

[BenPope]

Version & Environment

Redpanda version: (use rpk version): dev

What went wrong?

CI Failure

What should have happened instead?

CI Success

How to reproduce the issue?

1. Run CI

Additional information

Occurred in 3/22 runs in the last 24h.

https://buildkite.com/redpanda/redpanda/builds/16852#0183e99e-0e8b-4ff0-aa0c-71bd7a368e74

Exception: VerifiableProducer-0-140243594635840-worker-1: Traceback (most recent call last):
  File "/usr/local/lib/python3.10/dist-packages/ducktape/services/background_thread.py", line 38, in _protected_worker
    self._worker(idx, node)
  File "/root/tests/rptest/services/verifiable_producer.py", line 218, in _worker
    for line in node.account.ssh_capture(cmd):
  File "/usr/local/lib/python3.10/dist-packages/ducktape/cluster/remoteaccount.py", line 652, in next
    return next(self.iter_obj)
  File "/usr/local/lib/python3.10/dist-packages/ducktape/cluster/remoteaccount.py", line 318, in output_generator
    for line in iter(stdout.readline, ''):
  File "/usr/local/lib/python3.10/dist-packages/paramiko/file.py", line 291, in readline
    new_data = self._read(n)
  File "/usr/local/lib/python3.10/dist-packages/paramiko/channel.py", line 1361, in _read
    return self.channel.recv(size)
  File "/usr/local/lib/python3.10/dist-packages/paramiko/channel.py", line 710, in recv
    self.transport._send_user_message(m)
  File "/usr/local/lib/python3.10/dist-packages/paramiko/transport.py", line 1914, in _send_user_message
    raise SSHException(
paramiko.ssh_exception.SSHException: Key-exchange timed out waiting for key negotiation

Test requested 5 nodes, used only 4

[bharathv]

Debugging this over in #6792