refactor: Refactoring to adjust how cycles are detected and output to users.

[sdelliot]

Refactoring to adjust how cycles are detected and output to users.

Description

Discovered as part of sandialabs/firewheel_repo_base#3, this PR refactors where cycles in the dependency graph are checked and assists in clearly printing this information for users, should a cycle appear.

Related Issue

N/A

Type of Change

Please select the type of change your pull request introduces:

• Bugfix
• New feature
• Documentation update
• Other (please describe): Refactor

Checklist

• This PR conforms to the process detailed in the Contributing Guide.
• I have included no proprietary/sensitive information in my code.
• I have performed a self-review of my code.
• I have commented my code, particularly in hard-to-understand areas.
• I have made corresponding changes to the documentation.
• My changes generate no new warnings.
• I have tested my code.

Additional Notes

N/A