fix: Only log any error that happens during log redirection #763

Job	Run time
PR title check	3s
Checks / Package check	14s
Checks / Unit tests / Unit tests (windows-latest, 3.11)	1m 13s
Checks / Spell check	8s
Checks / Unit tests / Unit tests (windows-latest, 3.14)	1m 7s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.13)	46s
Checks / Actions lint check	33s
Checks / Integration tests (3.11, ubuntu-latest)	2m 41s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.11)	43s
Checks / Unit tests / Unit tests (windows-latest, 3.12)	1m 11s
Checks / Integration tests (3.14, ubuntu-latest)	2m 50s
Checks / Docstrings check	13s
Checks / Unit tests / Unit tests (windows-latest, 3.13)	1m 18s
Checks / Type check / Type check (3.12)	10s
Checks / Doc check / Docs check	1m 16s
Checks / Lint check / Lint check (3.12)	9s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.12)	46s
Checks / Lint check / Lint check (3.13)	12s
Checks / Type check / Type check (3.11)	12s
Checks / Type check / Type check (3.14)	10s
Checks / Type check / Type check (3.13)	12s
Checks / Lint check / Lint check (3.11)	9s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.14)	42s
Checks / Lint check / Lint check (3.14)	11s
	17m 9s

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