chore: Migrate to `ty` type checker #103

Job	Run time
PR title check	5s
Code checks / Actions lint check	29s
Code checks / Spell check	8s
Doc checks / Doc checks / Docs check	1m 39s
Code checks / Lint check / Lint check (3.14)	24s
Code checks / Lint check / Lint check (3.11)	25s
Code checks / Lint check / Lint check (3.10)	26s
Code checks / Lint check / Lint check (3.13)	26s
Code checks / Lint check / Lint check (3.12)	26s
Code checks / Type check / Type check (3.11)	22s
Code checks / Type check / Type check (3.13)	25s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	6m 38s
Code checks / Type check / Type check (3.10)	22s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 32s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	4m 35s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 32s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	4m 27s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	5m 41s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	5m 5s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	7m 27s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	6m 38s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	8m 20s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 3s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 40s
Code checks / Type check / Type check (3.12)	23s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	7m 13s
Code checks / Type check / Type check (3.14)	23s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	6m 10s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	4m 52s
	1h 31m 16s

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