Fix logic when built docs are published to gh-pages

[oleksandr-pavlyk]

gh-1377 has made changes to condition of executing "Publish Docs" step which resulted in that condition always evaluating to False, and documentation changes were not uploaded for 8 months since the merge of that PR.

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[github-actions]

Deleted rendered PR docs from intelpython.github.com/dpctl, latest should be updated shortly. 🤞

[coveralls]

coverage: 88.177%. remained the same
when pulling 418be6b on fix-publishing-docs
into b741209 on master.

[github-actions]

Array API standard conformance tests for dpctl=0.17.0dev0=py310h15de555_299 ran successfully.
Passed: 870
Failed: 8
Skipped: 92