ci: have one source of truth for docs check

[hamirmahal]

fixes #1541.

PR Checklist

Please check if your PR fulfills the following requirements:

• [x] Tests for the changes have been added (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)
• [x] Build related changes
• [x] CI related changes
• [ ] Documentation content changes
• [x] infrastructure changes
• [ ] Other... Please describe:

What is the current behavior?

.github/workflows/doc-checks.yml and .github/workflows/deploy-docs.yml can get out of sync.

What is the new behavior?

There's just 1 workflow file that we use for both checking, and deploying, docs.

[changeset-bot[bot]]

⚠️ No Changeset found

Latest commit: 58a70f12832f619ab5cb0129fb160836ebb63c53

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[ryansolid]

Thanks

[hamirmahal]

You're welcome.