test: deflake integration tests by polling instead of fixed sleeps #734

Job	Run time
PR title check	5s
Checks / Integration tests (3.11, ubuntu-latest)	2m 24s
Checks / Spell check	7s
Checks / Docstrings check	14s
Checks / Actions lint check	36s
Checks / Integration tests (3.14, ubuntu-latest)	2m 24s
Checks / Package check	15s
Checks / Type check / Type check (3.14)	11s
Checks / Lint check / Lint check (3.13)	10s
Checks / Lint check / Lint check (3.14)	15s
Checks / Lint check / Lint check (3.12)	12s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.11)	47s
Checks / Unit tests / Unit tests (windows-latest, 3.14)	57s
Checks / Doc check / Docs check	1m 14s
Checks / Lint check / Lint check (3.11)	10s
Checks / Type check / Type check (3.12)	10s
Checks / Type check / Type check (3.11)	12s
Checks / Unit tests / Unit tests (windows-latest, 3.13)	1m 4s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.13)	45s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.14)	48s
Checks / Type check / Type check (3.13)	12s
Checks / Unit tests / Unit tests (windows-latest, 3.11)	1m 8s
Checks / Unit tests / Unit tests (windows-latest, 3.12)	1m 11s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.12)	46s
	16m 17s

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