fix: handle ClosedResourceError when logging errors to disconnected clients #1000

Job	Run time
checks / pre-commit	40s
checks / readme-snippets	14s
checks / test (3.10, lowest-direct, ubuntu-latest)	56s
checks / test (3.12, lowest-direct, windows-latest)	3m 40s
checks / test (3.10, locked, ubuntu-latest)	48s
checks / test (3.10, lowest-direct, windows-latest)	2m 19s
checks / test (3.12, locked, windows-latest)	3m 20s
checks / test (3.11, locked, windows-latest)	2m 26s
checks / test (3.11, lowest-direct, windows-latest)	2m 25s
checks / test (3.10, locked, windows-latest)	2m 10s
checks / test (3.11, lowest-direct, ubuntu-latest)	53s
checks / test (3.13, lowest-direct, windows-latest)	2m 36s
checks / test (3.11, locked, ubuntu-latest)	46s
checks / test (3.12, lowest-direct, ubuntu-latest)	58s
checks / test (3.13, lowest-direct, ubuntu-latest)	54s
checks / test (3.12, locked, ubuntu-latest)	55s
checks / test (3.13, locked, ubuntu-latest)	46s
checks / test (3.14, locked, ubuntu-latest)	2m 20s
checks / test (3.14, lowest-direct, windows-latest)	2m 21s
checks / test (3.13, locked, windows-latest)	2m 41s
checks / test (3.14, locked, windows-latest)	3m 15s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 22s
all-green	2s
	38m 47s

Provide feedback