[v25.1.x] dt: capture the crash_reports dir on redpanda nodes

[vbotbuildovich]

Backport #28099 to branch v25.1.x. This issue was created as a placeholder because the original PR's commit(s) could not be automatically cherry-picked.
Here are the commands to execute:

git checkout v25.1.x
git checkout -b manual-backport-28099-v25.1.x-404
git cherry-pick -x f73ac178c1

git push origin manual-backport-28099-v25.1.x-404
gh pr create \
  --title "[v25.1.x] dt: capture the crash_reports dir on redpanda nodes" \
  --base "v25.1.x" \
  --label "kind/backport" \
  --head "manual-backport-28099-v25.1.x-404" \
  --draft \
  --repo "redpanda-data/redpanda" \
  --milestone "v25.1.x-next" \
  --body "Backport of PR https://github.com/redpanda-data/redpanda/pull/28099 "