test: Add more integration tests #680

Job	Run time
PR title check	4s
Doc checks / Doc checks / Docs check	1m 15s
Code checks / Actions lint check	33s
Docstrings checks / Docstrings checks	14s
Package check / Package check	15s
Tests / Integration tests (3.11, ubuntu-latest)	2m 20s
Code checks / Spell check	6s
Tests / Integration tests (3.14, ubuntu-latest)	2m 21s
Code checks / Type check / Type check (3.13)	14s
Code checks / Type check / Type check (3.14)	15s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	42s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	46s
Code checks / Lint check / Lint check (3.11)	14s
Code checks / Lint check / Lint check (3.14)	13s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	46s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	1m 18s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	1m 9s
Code checks / Type check / Type check (3.11)	12s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	44s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	1m 14s
Code checks / Type check / Type check (3.12)	9s
Code checks / Lint check / Lint check (3.12)	11s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	1m 3s
Code checks / Lint check / Lint check (3.13)	10s
	16m 28s

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