[I] [C++] use `std::atomic` instead of `std::atomic_load()`/`std::atomic_store()` [arrow]

[via GitHub]

jonkeane opened a new issue, #45144:
URL: https://github.com/apache/arrow/issues/45144

   ### Describe the enhancement requested
   
   In order to avoid deprecation warnings with GCC15 (follow on from #45138).
   
   ### Component(s)
   
   C++


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