Fix prelease workflows for `dry: false` (#33582)

## Summary

Follow-up to https://github.com/facebook/react/pull/33525

Fixes `Unsupported tag: "false"`
(https://github.com/facebook/react/actions/runs/15773778995/job/44463562733#step:13:12)
which also affects nightly releases.

## How did you test this change?

- [x] Run successful, manual prerelease from this branch:
https://github.com/facebook/react/actions/runs/15774083406