[backport 2.3.x] ENH: Enable pytables to round-trip with StringDtype (#60663) #21567

Job	Run time
Linux-32-bit	19m 44s
Linux-Musl	21m 52s
python-dev (macOS-13)	28m 40s
python-dev (macOS-14)	14m 15s
python-dev (ubuntu-22.04)	24m 58s
python-dev (windows-latest)	26m 36s
macos-13 actions-310.yaml	29m 16s
macos-13 actions-311.yaml	37m 16s
macos-13 actions-312.yaml	35m 34s
macos-13 actions-39.yaml	38m 48s
macos-14 actions-310.yaml	23m 27s
macos-14 actions-311.yaml	18m 17s
macos-14 actions-312.yaml	26m 6s
macos-14 actions-39.yaml	28m 52s
windows-latest actions-311.yaml	40m 17s
windows-latest actions-312.yaml	46m 28s
windows-latest actions-310.yaml	38m 9s
windows-latest actions-39.yaml	36m 49s
ubuntu-latest actions-310.yaml	54m 40s
Copy-on-Write 3.10 (warnings)	28m 40s
Copy-on-Write 3.10	28m 14s
ubuntu-latest actions-311.yaml	48m 34s
Future infer strings (without pyarrow)	46m 2s
Locale: zh_CN	27m 13s
Copy-on-Write 3.11	27m 27s
Copy-on-Write 3.11 (warnings)	27m 40s
Locale: it_IT	27m 7s
Downstream Compat	6m 20s
Numpy Dev	23m 49s
Pyarrow Nightly	24m 50s
ubuntu-latest actions-312.yaml	38m 7s
Future infer strings	39m 26s
Copy-on-Write 3.12	30m 6s
ubuntu-latest actions-39.yaml	48m 59s
Copy-on-Write 3.9 (warnings)	27m 42s
Copy-on-Write 3.9	27m 28s
Minimum Versions	27m 46s
Pypy	7m 30s
	19h 13m 4s

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