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

[Kazushi Marukawa via cfe-commits]

https://github.com/kaz7 approved this pull request.

Thank you for updating test scripts.  It works fine in the situation I explained before.  It works fine under VE buildbot configuration too.

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