ENH: Make print_thing respect display.precision for Real numbers #21333

Job	Run time
Pyodide build	5m 55s
Linux-32-bit	9m 19s
Linux-Musl	11m 24s
python-dev (macOS-13)	24m 17s
python-dev (macOS-14)	13m 39s
python-dev (ubuntu-22.04)	27m 18s
python-dev (windows-latest)	32m 9s
python-freethreading	34m 4s
ubuntu-latest actions-310.yaml	1h 32m 16s
Minimum Versions	1h 30m 14s
ubuntu-latest actions-311.yaml	1h 32m 11s
Future infer strings (without pyarrow)	1h 32m 4s
Locale: zh_CN	1h 30m 14s
Locale: it_IT	1h 30m 15s
Downstream Compat	5m 30s
Numpy Dev	27m 46s
Pyarrow Nightly	34m 18s
ubuntu-latest actions-312.yaml	1h 32m 13s
Future infer strings	1h 32m 16s
Pypy	1m 10s
macos-13 actions-311.yaml	1h 30m 15s
macos-13 actions-312.yaml	1h 30m 15s
macos-14 actions-310.yaml	1h 30m 16s
macos-13 actions-310.yaml	1h 30m 16s
macos-14 actions-311.yaml	1h 11m 0s
macos-14 actions-312.yaml	1h 17m 21s
windows-latest actions-311.yaml	1h 30m 13s
windows-latest actions-312.yaml	1h 30m 13s
windows-latest actions-310.yaml	1h 30m 14s
	1d 4h 58m 35s

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