[FR]: Add Clang Static Analyzer

### What is the current behavior?

_No response_

### Describe the feature

https://clang-analyzer.llvm.org/ is different from clang-tidy linter. Supports more rules.

Start by reading the linked Clang Static Analyzer documentation and inspecting how this repository currently exposes static-analysis tools, including the distinction from clang-tidy. No files or tests are named, so identify the relevant Bazel integration points first; done means the analyzer can be configured and run through the repository's supported workflow.

Written by the indexing model from the issue text.