[compiler-rt] [asan] Fix asan_new_delete.cpp C++ header resolution under -nostdinc++ (PR #202816)

[Justin T. Gibbs via llvm-commits]

scsiguy wrote:

@davidmrdavid, FYI, the merge of #200719 broke cross builds. This is a proposed fix.

https://github.com/llvm/llvm-project/pull/202816