[v23.1.x] Fix for hang on node joining cluster in NodeOperationFuzzyTest.test_node_operations

[vbotbuildovich]

Backport #8559 to branch v23.1.x. Note that this issue was created as a placeholder, since the original PR's commit(s) could not be automatically cherry-picked.
Here are the commands to execute:

git checkout v23.1.x
git checkout -b vbotbuildovich/backport-8559-v23.1.x-836
git cherry-pick -x 6e093f8d85b313193e48c189e859da2585ce8003

git push origin vbotbuildovich/backport-8559-v23.1.x-836
gh pr create \
  --title "[v23.1.x] Fix for hang on node joining cluster in `NodeOperationFuzzyTest.test_node_operations`" \
  --base "v23.1.x" \
  --label "kind/backport" \
  --head "vbotbuildovich/backport-8559-v23.1.x-836" \
  --draft \
  --repo "redpanda-data/redpanda" \
  --reviewer "mmaslankaprv" \
  --milestone "v23.1.x-next" \
  --body "Backport of PR https://github.com/redpanda-data/redpanda/pull/8559 "

[piyushredpanda]

@graphcareful : this can be closed as well, yes?

[graphcareful]

I did a little investigation, #8559 was closed not merged because the test was eventually removed from dev. The issue was also manifesting in another issue #9052. #9052 has recently reopened so it appears there may not be a fix yet.

Maybe we should close this backport as #8559 seems to not be the fix needed to resolve the issue and instead backport whatever ends up being the eventual solution?

[piyushredpanda]

SGTM.