chore: Migrate to `ty` type checker #104

Job	Run time
PR title check	5s
Code checks / Actions lint check	32s
Doc checks / Doc checks / Docs check	1m 38s
Code checks / Spell check	7s
Code checks / Type check / Type check (3.11)	27s
Code checks / Type check / Type check (3.10)	24s
Code checks / Lint check / Lint check (3.10)	25s
Code checks / Lint check / Lint check (3.13)	24s
Code checks / Lint check / Lint check (3.14)	27s
Code checks / Lint check / Lint check (3.12)	26s
Code checks / Type check / Type check (3.12)	26s
Code checks / Lint check / Lint check (3.11)	24s
Code checks / Type check / Type check (3.14)	25s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 23s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 54s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 29s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	6m 13s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	5m 10s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	5m 3s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	6m 38s
Code checks / Type check / Type check (3.13)	23s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	6m 9s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	4m 58s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	6m 32s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	4m 42s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	5m 16s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	4m 12s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	11m 58s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	5m 49s
	1h 32m 59s

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