ci: fix & fuse docker builds

[Borda]

What does this PR do?

Addressing following failures:

• https://github.com/Lightning-AI/lightning/actions/runs/6024851897/job/16344382018
• https://github.com/Lightning-AI/lightning/actions/runs/5875926710

Before submitting

• Was this discussed/agreed via a GitHub issue? (not for typos and docs)
• Did you read the contributor guideline, Pull Request section?
• Did you make sure your PR does only one thing, instead of bundling different changes together?
• 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.
Before you start reviewing, make sure you have read the review guidelines. In short, see the following bullet-list:

Reviewer checklist

• Is this pull request ready for review? (if not, please submit in draft mode)
• Check that all items from Before submitting are resolved
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cc @carmocca @Borda @tchaton

[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.

🟢 pytorch_lightning: Docker

Check ID	Status
build-cuda (3.9, 1.12, 11.7.1)	success	✅
build-cuda (3.9, 1.13, 11.8.0)	success	✅
build-cuda (3.9, 1.13, 12.0.1)	success	✅
build-cuda (3.10, 2.0, 11.8.0)	success	✅
build-cuda (3.10, 2.0, 12.0.1)	success	✅
build-pl (3.9, 1.12, 11.7.1)	success	✅
build-pl (3.9, 1.13, 11.8.0)	success	✅
build-pl (3.9, 1.13, 12.0.1)	success	✅
build-pl (3.10, 2.0, 11.8.0)	success	✅
build-pl (3.10, 2.0, 12.0.1)	success	✅

These checks are required after the changes to .github/workflows/docker-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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