test: deflake integration tests by polling instead of fixed sleeps #731

Job	Run time
PR title check	3s
Checks / Actions lint check	32s
Checks / Spell check	5s
Checks / Docstrings check	16s
Checks / Integration tests (3.14, ubuntu-latest)	2m 22s
Checks / Integration tests (3.11, ubuntu-latest)	2m 14s
Checks / Package check	21s
Checks / Type check / Type check (3.11)	11s
Checks / Type check / Type check (3.14)	10s
Checks / Lint check / Lint check (3.13)	11s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.11)	46s
Checks / Lint check / Lint check (3.14)	12s
Checks / Doc check / Docs check	1m 24s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.14)	47s
Checks / Lint check / Lint check (3.12)	12s
Checks / Type check / Type check (3.13)	14s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.12)	47s
Checks / Unit tests / Unit tests (windows-latest, 3.12)	1m 4s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.13)	42s
Checks / Unit tests / Unit tests (windows-latest, 3.11)	1m 21s
Checks / Lint check / Lint check (3.11)	11s
Checks / Type check / Type check (3.12)	13s
Checks / Unit tests / Unit tests (windows-latest, 3.14)	1m 3s
Checks / Unit tests / Unit tests (windows-latest, 3.13)	1m 18s
	16m 39s

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