fix: Only log any error that happens during log redirection #764

Job	Run time
PR title check	4s
Checks / Actions lint check	30s
Checks / Docstrings check	16s
Checks / Integration tests (3.11, ubuntu-latest)	2m 39s
Checks / Package check	20s
Checks / Integration tests (3.14, ubuntu-latest)	2m 44s
Checks / Spell check	6s
Checks / Lint check / Lint check (3.11)	12s
Checks / Lint check / Lint check (3.14)	12s
Checks / Lint check / Lint check (3.13)	12s
Checks / Lint check / Lint check (3.12)	11s
Checks / Type check / Type check (3.13)	15s
Checks / Type check / Type check (3.11)	11s
Checks / Unit tests / Unit tests (windows-latest, 3.14)	1m 23s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.11)	46s
Checks / Doc check / Docs check	1m 14s
Checks / Type check / Type check (3.12)	10s
Checks / Type check / Type check (3.14)	12s
Checks / Unit tests / Unit tests (windows-latest, 3.11)	1m 18s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.13)	52s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.12)	47s
Checks / Unit tests / Unit tests (windows-latest, 3.13)	2m 11s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.14)	51s
Checks / Unit tests / Unit tests (windows-latest, 3.12)	1m 16s
	18m 52s

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