[upstream staging] Remove dead PUBLISH_REQUIREMENTS_PATH env

[duksh]

Summary

Staging PR for upstream submission to pyca/cryptography. Submit upstream via: pyca/cryptography@main...duksh:cryptography:claude/upstream-remove-dead-publish-env

pypi-publish.yml defines PUBLISH_REQUIREMENTS_PATH pointing at .github/requirements/publish-requirements.txt, which no longer exists, and no step reads the variable. Removes the dead env block.

Testing

• Verified no references to PUBLISH_REQUIREMENTS remain anywhere in .github/; YAML validated.

🤖 Generated with Claude Code

https://claude.ai/code/session_01DWoMomNAcBM3e8duJrb2do

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[duksh]

Submitted upstream as pyca#15324 — closing this staging PR (validation complete: all runnable jobs green; the ppc64le leg is unrunnable on forks). The branch stays until the upstream PR resolves.

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