Revert "Revert "[docs] Add the new docs CI checks"" (#123585)
* Revert "Revert "Add new docs actions (#123506)" (#123570)"
This reverts commit ee31c5a92dae4f658b463f5ae16334895a8cdfeb.
* [CI] Auto commit changes from spotless
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Co-authored-by: elasticsearchmachine <infra-root+elasticsearchmachine@elastic.co>