Revert "[runtimes] Probe for -nostdlib++ and -nostdinc++ with the C compiler" (#113653)

Reverts llvm/llvm-project#108357

Breaks https://lab.llvm.org/buildbot/#/builders/164/builds/3908 and
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GitOrigin-RevId: 240e4780680f0d6a760be1b9ea432f410424b3a5
2 files changed
tree: 84833d31957008340a657b0ab65df091da9515b8
  1. cmake/
  2. docs/
  3. include/
  4. src/
  5. test/
  6. .clang-format
  7. CMakeLists.txt
  8. LICENSE.TXT