fix: Fixed the complete CI workflow for playwright-test including build errors

[sahitya-chandra]

fixed #556

All tests passed in CI:
https://github.com/sahitya-chandra/RUXAILAB/actions/runs/13027013084

Changs made:

1. Updated the complete CI workflow for playwright.yml file.
2. Improved the test for better end-to-end testing.
3. Improved the Dockerfile.
4. Updated playwright.config.js file.

[sonarqubecloud]

Quality Gate failed

Failed conditions
1 Security Hotspot

See analysis details on SonarQube Cloud

[sahitya-chandra]

@marcgc21 sir please review the code.
And we have to set the environment variables in the project settings because it is highly dependent on Firebase.