Support building docs for publishing via GHA

[fheinecke]

Description

Currently GHA can only produce docs archives for NVTE_DOCS_DISABLE_PUBLIC_FEATURES: '1', which makes them useful for local testing, but not for public publishing. This makes the option togglable via workflow dispatch triggers, which allows for building these identically to GitLab CI without running through the whole long, expensive build process.

Fixes # (issue)

Type of change

• Documentation change (change only to the documentation, either a fix or a new content)
• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• Infra/Build change
• Code refactoring

Changes

Please list the changes introduced in this PR:

• Support building docs for publishing via GHA

Checklist:

• I have read and followed the contributing guidelines
• The functionality is complete
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• My changes generate no new warnings
• I have added tests that prove my fix is effective or that my feature works
• New and existing unit tests pass locally with my changes

[fheinecke]

Workflow run without public features enabled: https://github.com/NVIDIA/TransformerEngine/actions/runs/34878608155/job/104091936957
Workflow run with public features enabled: https://github.com/NVIDIA/TransformerEngine/actions/runs/34878674757/job/104092166458

[greptile-apps]

Confidence Score: 5/5

The PR appears safe to merge, with the new manual-dispatch option correctly controlling the existing documentation feature flag.

Summary

• Public features remain disabled by default for pull requests and other existing invocation paths.
• Enabling the dispatch input maps the documentation environment variable to "0", matching its existing parsing semantics.

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