fix: avoid closing stdio server streams #2039

Job	Run time
checks / pre-commit	38s
checks / readme-snippets	10s
checks / test (3.11, locked, ubuntu-latest)	53s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 2s
checks / test (3.11, lowest-direct, windows-latest)	2m 46s
checks / test (3.10, locked, windows-latest)	2m 29s
checks / test (3.10, lowest-direct, windows-latest)	2m 44s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 1s
checks / test (3.13, lowest-direct, windows-latest)	2m 48s
checks / test (3.11, locked, windows-latest)	3m 17s
checks / test (3.10, locked, ubuntu-latest)	53s
checks / test (3.13, locked, ubuntu-latest)	50s
checks / test (3.12, locked, windows-latest)	3m 27s
checks / test (3.14, lowest-direct, windows-latest)	2m 36s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 1s
checks / test (3.12, locked, ubuntu-latest)	58s
checks / test (3.14, locked, ubuntu-latest)	2m 27s
checks / test (3.14, locked, windows-latest)	3m 26s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 21s
checks / test (3.13, locked, windows-latest)	1m 51s
checks / test (3.13, lowest-direct, ubuntu-latest)	58s
checks / test (3.12, lowest-direct, windows-latest)	3m 36s
all-green	3s
	41m 15s

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