[Feature]: Integrate clang-tidy for code quality checks

### Problem / Motivation

Integrating clang-tidy will help enforce consistent code style, catch common programming errors (e.g., memory leaks, misuse of move semantics, const-correctness), and improve overall code quality in line with the project’s adherence to the Google C++ Style Guide.

### Proposed Solution

```python

```

### Alternatives Considered

_No response_

### Affected Area

_No response_