[clang] [Clang][Driver] Revise Cygwin ToolChain to call linker directly (PR #147960)

[via cfe-commits]

jeremyd2019 wrote:

> > That said, I also encountered the same issue with BFD-ld (when building libc++ with @tyan0's patches from cygwin-packages), so I should try to reproduce it again to be sure. It may take a few days to rebuild and investigate...
> 
> What I saw is probably a bug in LLD, and not related to this PR anyway.

https://cygwin.com/pipermail/cygwin/2025-July/258547.html
Probably need to open a new issue for the LLD weirdness.

https://github.com/llvm/llvm-project/pull/147960