[clang-tools-extra] [clang-tidy] Remove redundant LINK_LIBS (PR #94588)

[Jonas Toth via cfe-commits]

JonasToth wrote:

As you requested my review:

The original linking was done for the `ExprMutAnalyzer` used in 'misc-const-correctness'. If clang-tidy is builtin without static analyzer Support, you get linker failure.

If the `ExprMutAnalyzer` is moved (back) to clang-tidy, the issue is not existent. The original move request was from static analysis background where they might wanted to use the class as well.

https://github.com/llvm/llvm-project/pull/94588