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

[Cuiyus]

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

Alternatives Considered

No response

Affected Area

No response