tee: fix poll timeout causing intermittent hangs with -p flag #4427

Job	Run time
L10n/French Integration Test	48s
L10n/Fluent Syntax Check	16s
L10n/Build and Test (ubuntu-latest, feat_os_unix)	2m 17s
L10n/Clap Error Localization Test	50s
L10n/Build and Test (windows-latest, feat_os_windows)	9m 8s
L10n/Build and Test (macos-latest, feat_os_macos)	2m 12s
L10n/Multi-call Binary Install Test (ubuntu-latest, feat_os_unix)	2m 55s
L10n/Embedded Locale Regression Test	1m 11s
L10n/Locale Embedding - Cat Utility	43s
L10n/Multi-call Binary Install Test (macos-latest, feat_os_macos)	3m 38s
L10n/Locale Embedding - Ls Utility	1m 10s
L10n/Locale Embedding - Cargo Install	54s
L10n/Installation Test (Make & Cargo) (ubuntu-latest, feat_os_unix)	4m 33s
L10n/Locale Support Verification	6m 7s
L10n/Installation Test (Make & Cargo) (macos-latest, feat_os_macos)	4m 59s
L10n/Locale Embedding - Multicall Binary	2m 5s
L10n/Locale Embedding Regression Test	2s
	43m 48s

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