chore: Migrate to `ty` type checker #6

Job	Run time
Docstrings checks / Docstrings checks	20s
PR title check	4s
Code checks / Actions lint check	32s
Doc checks / Doc checks / Docs check	55s
Code checks / Lint check / Lint check (3.12)	10s
Code checks / Type check / Type check (3.10)	11s
Code checks / Lint check / Lint check (3.14)	12s
Code checks / Lint check / Lint check (3.13)	8s
Code checks / Lint check / Lint check (3.11)	8s
Code checks / Type check / Type check (3.12)	10s
Code checks / Type check / Type check (3.13)	12s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	27s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	43s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	24s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	44s
Code checks / Type check / Type check (3.14)	9s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	29s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	41s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	47s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	43s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	25s
Code checks / Type check / Type check (3.11)	8s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	24s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.10)	47s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.14)	38s
Code checks / Lint check / Lint check (3.10)	11s
	10m 42s

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