chore: Migrate to `ty` type checker #109

Job	Run time
Code checks / Spell check	6s
PR title check	3s
Doc checks / Doc checks / Docs check	1m 41s
Code checks / Actions lint check	29s
Code checks / Lint check / Lint check (3.12)	22s
Code checks / Type check / Type check (3.12)	22s
Code checks / Lint check / Lint check (3.13)	29s
Code checks / Lint check / Lint check (3.14)	25s
Code checks / Type check / Type check (3.14)	24s
Code checks / Type check / Type check (3.11)	27s
Code checks / Type check / Type check (3.10)	27s
Code checks / Lint check / Lint check (3.11)	30s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 33s
Code checks / Lint check / Lint check (3.10)	25s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	7m 23s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 7s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	7m 24s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	4m 58s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	5m 37s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	7m 17s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 31s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	4m 55s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	3m 33s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	6m 21s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	8m 22s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	8m 8s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	6m 32s
Code checks / Type check / Type check (3.13)	24s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 26s
	1h 34m 41s

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