[v24.1.x] tests: bump ducktape to latest of 0.11.x

[vbotbuildovich]

Backport #23570 to branch v24.1.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 v24.1.x
git checkout -b vbotbuildovich/backport-23570-v24.1.x-799
git cherry-pick -x f420d38c58 0e59775175 b80644cea2 a0664363c6

git push origin vbotbuildovich/backport-23570-v24.1.x-799
gh pr create \
  --title "[v24.1.x] tests: bump ducktape to latest of 0.11.x " \
  --base "v24.1.x" \
  --label "kind/backport" \
  --head "vbotbuildovich/backport-23570-v24.1.x-799" \
  --draft \
  --repo "redpanda-data/redpanda" \
  --milestone "v24.1.x-next" \
  --body "Backport of PR https://github.com/redpanda-data/redpanda/pull/23570 "

[ivotron]

pr opened in #23645

[ivotron]

closed the above due to a badly named branch (vtools doesn't like / in the name). re-created it as #23570