chore: Migrate to `ty` type checker #73

Job	Run time
PR title check	5s
Code checks / Actions lint check	30s
Code checks / Spell check	6s
Doc checks / Doc checks / Docs check	1m 40s
Code checks / Type check / Type check (3.14)	26s
Code checks / Lint check / Lint check (3.14)	26s
Code checks / Type check / Type check (3.11)	29s
Code checks / Type check / Type check (3.13)	23s
Code checks / Lint check / Lint check (3.13)	28s
Code checks / Type check / Type check (3.12)	31s
Code checks / Lint check / Lint check (3.10)	26s
Code checks / Type check / Type check (3.10)	26s
Code checks / Lint check / Lint check (3.11)	26s
Code checks / Lint check / Lint check (3.12)	25s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 19s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	5m 22s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 34s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 39s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	7m 4s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	6m 50s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	6m 56s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	3m 39s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	5m 51s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	4m 59s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	5m 0s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	6m 0s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	1m 39s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	7m 8s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	4m 27s
	1h 24m 14s

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