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

clangAnalysis is already being pulled in via
clang_target_link_libraries(). Also listing it in LINK_LIBS means that
we'll link both against the static libraries and the shared
libclang-cpp.so library if CLANG_LINK_CLANG_DYLIB is enabled, and waste
time on unnecessary LTO.