[Snippets][CPU] Enable clang-tidy (#31063)
### Details:
- Enable full scope of `clang-tidy` checks that are already enabled in
CPU plugin:
[`src/plugins/intel_cpu/src/.clang-tidy`](https://github.com/openvinotoolkit/openvino/blob/f4f4ce0d1478d44c7b91f2523b7c50c9d01cc7e7/src/plugins/intel_cpu/src/.clang-tidy)
- Address reported `clang-tidy` remarks
### Tickets:
- N/A
