chore: Migrate to `ty` type checker #102

Job	Run time
PR title check	5s
Code checks / Actions lint check	30s
Doc checks / Doc checks / Docs check	1m 36s
Code checks / Spell check	6s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 38s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	6m 19s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	7m 3s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	6m 11s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 38s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	6m 5s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	8m 11s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	5m 4s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 33s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	5m 56s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	8m 48s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	4m 46s
Code checks / Lint check / Lint check (3.14)	26s
Code checks / Lint check / Lint check (3.12)	26s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 9s
Code checks / Lint check / Lint check (3.10)	28s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	7m 43s
Code checks / Type check / Type check (3.11)	26s
Code checks / Lint check / Lint check (3.13)	25s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	5m 54s
Code checks / Type check / Type check (3.14)	27s
Code checks / Type check / Type check (3.12)	25s
Code checks / Type check / Type check (3.13)	25s
Code checks / Type check / Type check (3.10)	24s
Code checks / Lint check / Lint check (3.11)	27s
	1h 36m 34s

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