Refactor Shared Utility Layer to Reduce Architectural Coupling

## Description
Shared logic dependencies have grown increasingly interconnected, impacting maintainability.

## Proposed Solution
- Separate responsibilities.
- Simplify dependency relationships.
- Improve modularity.
- Add architectural safeguards.

## Acceptance Criteria
- Cleaner dependency graph.
- Improved maintainability.
- Reduced coupling.

## Expected Labels
`level3`, `NSoC'26`