ENH: Update DataFrame.to_stata to handle pd.NA and None values in strL columns #23031

Job	Run time
Pyodide build	6m 51s
Linux-32-bit	6m 39s
Linux-Musl	6m 39s
python-freethreading	6m 52s
python-dev (macOS-13)	7m 0s
python-dev (macOS-14)	6m 55s
python-dev (ubuntu-22.04)	6m 51s
python-dev (windows-latest)	6m 43s
macos-13 actions-310.yaml	6m 39s
macos-13 actions-311.yaml	6m 39s
macos-13 actions-312.yaml	6m 38s
macos-14 actions-310.yaml	6m 58s
macos-14 actions-311.yaml	7m 0s
macos-14 actions-312.yaml	7m 2s
windows-latest actions-311.yaml	6m 35s
windows-latest actions-312.yaml	6m 36s
windows-latest actions-310.yaml	6m 37s
Minimum Versions	6m 40s
Future infer strings (without pyarrow)	6m 40s
Locale: zh_CN	6m 41s
Locale: it_IT	6m 41s
Downstream Compat	6m 42s
Numpy Dev	6m 55s
Pyarrow Nightly	6m 55s
Future infer strings	6m 39s
Pypy	1m 50s
ubuntu-22.04 actions-310.yaml	6m 40s
ubuntu-22.04 actions-311.yaml	6m 40s
ubuntu-22.04 actions-312.yaml	6m 40s
ubuntu-24.04-arm actions-311.yaml	6m 38s
ubuntu-24.04-arm actions-312.yaml	6m 37s
ubuntu-24.04-arm actions-310.yaml	6m 40s
	3h 30m 52s

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