refactor!: Introduce fully typed clients [WIP] #500

Job	Run time
Actions lint check	26s
Docs check / Docs check	1m 22s
Lint check / Lint check (3.12)	8s
Lint check / Lint check (3.13)	10s
Type check / Type check (3.14)	16s
Lint check / Lint check (3.10)	11s
Lint check / Lint check (3.14)	13s
Type check / Type check (3.11)	16s
Type check / Type check (3.12)	17s
Unit tests / Unit tests (ubuntu-latest, 3.11)	27s
Type check / Type check (3.13)	14s
Unit tests / Unit tests (windows-latest, 3.10)	42s
Lint check / Lint check (3.11)	11s
Unit tests / Unit tests (ubuntu-latest, 3.14)	24s
Unit tests / Unit tests (ubuntu-latest, 3.13)	28s
Unit tests / Unit tests (ubuntu-latest, 3.12)	31s
Unit tests / Unit tests (windows-latest, 3.12)	42s
Unit tests / Unit tests (windows-latest, 3.14)	43s
Async dostrings check / Async docstrings check	20s
Unit tests / Unit tests (windows-latest, 3.13)	42s
Unit tests / Unit tests (windows-latest, 3.11)	43s
Unit tests / Unit tests (ubuntu-latest, 3.10)	27s
Type check / Type check (3.10)	13s
Integration tests	-1s
	10m 5s

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