ci/docs: upload with dispatch

[Borda]

What does this PR do?

dispatch build work fine now need to fix condition for upload, see ref run https://github.com/Lightning-AI/lightning/actions/runs/6895065919

Before submitting

• Was this discussed/agreed via a GitHub issue? (not for typos and docs)
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• Did you make sure to update the documentation with your changes? (if necessary)
• Did you write any new necessary tests? (not for typos and docs)
• Did you verify new and existing tests pass locally with your changes?
• Did you list all the breaking changes introduced by this pull request?
• Did you update the CHANGELOG? (not for typos, docs, test updates, or minor internal changes/refactors)

PR review

Anyone in the community is welcome to review the PR.
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Reviewer checklist

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cc @Borda @carmocca

[github-actions]

⚡ Required checks status: All passing 🟢

Groups summary

🟢 fabric: Docs

Check ID	Status
docs-make (fabric, doctest)	success	✅
docs-make (fabric, html)	success	✅

These checks are required after the changes to .github/workflows/docs-build.yml.

🟢 pytorch_lightning: Docs

Check ID	Status
docs-make (pytorch, doctest)	success	✅
docs-make (pytorch, html)	success	✅

These checks are required after the changes to .github/workflows/docs-build.yml.

🟢 lightning_app: Docs

Check ID	Status
docs-make (app, doctest)	success	✅
docs-make (app, html)	success	✅

These checks are required after the changes to .github/workflows/docs-build.yml.

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Thank you for your contribution! 💜

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