[llvm] [mlir] CMake: Remove unnecessary dependencies on LLVM/MLIR (PR #110362)

[Andrzej Warzyński via llvm-commits]

banach-space wrote:

Thanks @Adnios , nice clean-up! Out of curiosity, how did you identify these? Manually or automatically?

Note that pre-commit is unhappy. I couldn't find the actual error in the Linux job. The one for Windows reports:
```bash
VMemoryBuffer at llvm@@U?$default_delete at VMemoryBuffer@llvm@@@std@@@std@@@Z)
--
  | unittests\ProfileData\ProfileDataTests.exe : fatal error LNK1120: 1 unresolved externals
```

https://github.com/llvm/llvm-project/pull/110362