Revert "[Chore] Update site deployment workflow"

[banana-three-join]

Reverts #317

The merging of this commit caused the build to be missing from the deployment to gh-pages

Summary by CodeRabbit

• Chores
  • Updated the site build and deployment process to respond to additional workflow changes.
  • Deployment now publishes the generated site while preserving existing files, helping maintain continuity for visitors.
  • Updated the underlying build environment and deployment tooling for ongoing site releases.

[netlify]

✅ Deploy Preview for meshery-play canceled.

Name	Link
🔨 Latest commit	d0a2ba6
🔍 Latest deploy log	https://app.netlify.com/projects/meshery-play/deploys/6ab16afab4006f0008e25137

[coderabbitai]

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Review profile: CHILL

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Run ID: 82aabbe6-bb78-4b0f-8a93-afa0ea94a44a

📥 Commits

Reviewing files that changed from the base of the PR and between b4dec25 and d0a2ba6.

📒 Files selected for processing (1)

• .github/workflows/build-and-deploy-site.yml

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✨ Finishing Touches

🧪 Generate unit tests (beta)

• Commit to this branch
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