test: Add more integration tests #675

Job	Run time
Tests / Integration tests (3.14, ubuntu-latest)	2m 21s
Docstrings checks / Docstrings checks	21s
Code checks / Spell check	5s
PR title check	3s
Code checks / Actions lint check	34s
Package check / Package check	14s
Tests / Integration tests (3.11, ubuntu-latest)	2m 21s
Code checks / Type check / Type check (3.13)	15s
Doc checks / Doc checks / Docs check	1m 16s
Code checks / Lint check / Lint check (3.12)	14s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	50s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	1m 19s
Code checks / Lint check / Lint check (3.13)	14s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	47s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	1m 44s
Code checks / Lint check / Lint check (3.14)	12s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	1m 14s
Code checks / Lint check / Lint check (3.11)	12s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	44s
Code checks / Type check / Type check (3.12)	14s
Code checks / Type check / Type check (3.11)	10s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	1m 13s
Code checks / Type check / Type check (3.14)	14s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	44s
	17m 35s

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