[clang] [clang] Do not share ownership of `HeaderSearchOptions` (PR #132984)

[Balazs Benics via cfe-commits]

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

As for the Static Analyzer, if the tests pass, we should be good.
Unique_ptr > shared_ptr for sure!

https://github.com/llvm/llvm-project/pull/132984