fix(stdio): suppress BrokenResourceError in stdout_reader (#1960) #2358

Job	Run time
checks / readme-snippets	11s
checks / pre-commit	32s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 4s
checks / test (3.10, locked, windows-latest)	2m 35s
checks / test (3.11, locked, windows-latest)	2m 55s
checks / test (3.10, locked, ubuntu-latest)	1m 6s
checks / test (3.11, locked, ubuntu-latest)	59s
checks / test (3.10, lowest-direct, windows-latest)	2m 40s
checks / test (3.12, locked, ubuntu-latest)	1m 5s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 12s
checks / test (3.11, lowest-direct, windows-latest)	2m 57s
checks / test (3.13, lowest-direct, windows-latest)	3m 56s
checks / test (3.14, lowest-direct, windows-latest)	2m 41s
checks / test (3.13, locked, windows-latest)	2m 33s
checks / test (3.12, locked, windows-latest)	3m 50s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 4s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 14s
checks / test (3.14, locked, windows-latest)	3m 45s
checks / test (3.13, locked, ubuntu-latest)	1m 1s
checks / test (3.12, lowest-direct, windows-latest)	3m 40s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 28s
checks / test (3.14, locked, ubuntu-latest)	2m 35s
all-green	3s
	45m 6s

Provide feedback