[clang] Reland "[clang][modules] Print library module manifest path." (PR #82160)

[Mark de Wever via cfe-commits]

mordante wrote:

Thanks for the revert and additional information. I was expecting that the test should not be affected by files outside of the `%t/Inputs` directory. I will test this locally, it might take a few days before I have time.

https://github.com/llvm/llvm-project/pull/82160