chore: Migrate to `ty` type checker #85

Job	Run time
PR title check	4s
Code checks / Spell check	5s
Doc checks / Doc checks / Docs check	1m 37s
Code checks / Actions lint check	33s
Code checks / Lint check / Lint check (3.11)	27s
Code checks / Lint check / Lint check (3.13)	22s
Code checks / Lint check / Lint check (3.10)	26s
Code checks / Type check / Type check (3.13)	22s
Code checks / Lint check / Lint check (3.12)	1m 18s
Code checks / Type check / Type check (3.12)	27s
Code checks / Lint check / Lint check (3.14)	24s
Code checks / Type check / Type check (3.10)	24s
Code checks / Type check / Type check (3.11)	27s
Code checks / Type check / Type check (3.14)	24s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	7m 10s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	5m 4s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 8s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 35s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	5m 7s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	8m 50s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	5m 24s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 23s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	7m 1s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	7m 14s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	6m 5s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 36s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	6m 16s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	6m 23s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	5m 55s
	1h 35m 31s

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