ci: move the publishing of the docs to the release pipeline to sync the package with the docs

[NachoVazquez]

PR Checklist

Please check if your PR fulfills the following requirements:

• The commit message follows our guidelines: CONTRIBUTING.md#commit
• Tests for the changes have been added (for bug fixes / features)
• Docs have been added / updated (for bug fixes / features)

PR Type

What kind of change does this PR introduce?

[ ] Bugfix
[ ] Feature
[ ] Code style update (formatting, local variables)
[ ] Refactoring (no functional changes, no api changes)
[ ] Build related changes
[x] CI related changes
[ ] Documentation content changes
[ ] Other... Please describe:

What is the current behavior?

Every time we merge a PR the docs are automatically deployed.

What is the new behavior?

Docs are deployed only when a manual release is triggered

Does this PR introduce a breaking change?

[ ] Yes
[x] No

[nx-cloud]

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✅ Successfully ran 5 targets

• nx run-many --all --target=test --configuration=coverage --parallel=1 --max-workers=2
• nx run-many --all --target=lint --configuration=report --parallel=2 --max-warnings=0
• nx affected -t e2e-ci --parallel=1
• nx affected -t lint test build
• nx-cloud record -- nx format:check

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[sonarcloud]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
0.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarCloud