Preserve Wrangler logs during docs deployment CI runs (#24371)

Adds a log collection step to debug errors like
https://github.com/zed-industries/zed/actions/runs/13175284280/job/36773129216#step:8:29

During testing though, the CI had passed, so 500 seems to be unrelated
to Zed changes:
https://github.com/zed-industries/zed/actions/runs/13175800537/job/36774702686

Release Notes:

- N/A