[v23.3.x] Fix cloud operator_v2 check

[vbotbuildovich]

Backport https://github.com/redpanda-data/redpanda/pull/23040 to branch v23.3.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 v23.3.x
git checkout -b vbotbuildovich/backport-23040-v23.3.x-810
git cherry-pick -x 059ae3591d72b7fad484d329370f48c4472bd52d

git push origin vbotbuildovich/backport-23040-v23.3.x-810
gh pr create \
  --title "[v23.3.x] Fix cloud operator_v2 check" \
  --base "v23.3.x" \
  --label "kind/backport" \
  --head "vbotbuildovich/backport-23040-v23.3.x-810" \
  --draft \
  --repo "redpanda-data/redpanda" \
  --milestone "v23.3.x-next" \
  --body "Backport of PR https://github.com/redpanda-data/redpanda/pull/23040 "

JIRA Link: [CORE-7053](https://redpandadata.atlassian.net/browse/CORE-7053)