[clang] Reland Print library module manifest path again (PR #84881)

[Katherine Whitlock via cfe-commits]

stellar-aria wrote:

Can we also have a fallback check for stdlibs that don't have a `.so` version (such as embedded)? Something as simple as:
```c++
    std::string lib = GetFilePath("libc++.so", TC);
    if (lib.empty())
      lib = GetFilePath("libc++.a", TC);
```

https://github.com/llvm/llvm-project/pull/84881