Authorize the project if it's the agent's project

What does this MR do?

Related issue: #220912 (closed)

Authorize the project if it's the agent's project

This allows for private projects for agents, but only for the same project case.

Screenshots (strongly suggested)

Does this MR meet the acceptance criteria?

Conformity

• Changelog entry
• Documentation (if required)
• Code review guidelines
• Merge request performance guidelines
• Style guides
• [-] Database guides
• [-] Separation of EE specific content

Availability and Testing

• Review and add/update tests for this feature/bug. Consider all test levels. See the Test Planning Process.