fix: Align `Request.state` transitions with `Request` lifecycle #4042

Job	Run time
Type check / Type check (3.14)	46s
Type check / Type check (3.12)	52s
Type check / Type check (3.11)	44s
Type check / Type check (3.10)	47s
Type check / Type check (3.13)	52s
Lint check / Lint check (3.11)	23s
Lint check / Lint check (3.13)	25s
Lint check / Lint check (3.10)	27s
Docs check / Docs check	1m 49s
Lint check / Lint check (3.14)	29s
Unit tests / Unit tests (windows-latest, 3.13)	4m 48s
Unit tests / Unit tests (windows-latest, 3.12)	4m 59s
Unit tests / Unit tests (ubuntu-latest, 3.11)	3m 12s
Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 16s
Unit tests / Unit tests (windows-latest, 3.11)	7m 3s
Unit tests / Unit tests (windows-latest, 3.10)	5m 58s
Unit tests / Unit tests (ubuntu-latest, 3.12)	3m 26s
Unit tests / Unit tests (ubuntu-latest, 3.13)	3m 21s
Unit tests / Unit tests (ubuntu-latest, 3.10)	3m 29s
Unit tests / Unit tests (windows-latest, 3.14)	4m 55s
Lint check / Lint check (3.12)	27s
	52m 28s

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