[clang-tools-extra] [clang-tidy][NFC]remove deps of clang in clang tidy test (PR #116588)

[Aaron Ballman via cfe-commits]

https://github.com/AaronBallman approved this pull request.

Presuming all tests continue to pass, this LGTM!

https://github.com/llvm/llvm-project/pull/116588