Update 'NoSetupRepoFactory' E2E test

[artaleks9]

What does this PR do?

Adds new test to check a run of workspace from private repository without any PAT / OAuth setup using default devfile.yaml.

Screenshot/screencast of this PR

What issues does this PR fix or reference?

https://github.com/eclipse-che/che/issues/23253

How to test this PR?

PR Checklist

As the author of this Pull Request I made sure that:

• [ ] The Eclipse Contributor Agreement is valid
• [ ] Code produced is complete
• [ ] Code builds without errors
• [ ] Tests are covering the bugfix or new feature
• [ ] The repository devfile is up to date and works
• [ ] Sections What issues does this PR fix or reference and How to test this PR completed
• [ ] Relevant user documentation updated
• [ ] Relevant contributing documentation updated
• [ ] CI/CD changes implemented, documented and communicated

Reviewers

Reviewers, please comment how you tested the PR when approving it.