refactor!: Remove `Request.id` field #596

Job	Run time
Type check / Type check (3.13)	32s
Type check / Type check (3.11)	25s
Type check / Type check (3.10)	26s
Lint check / Lint check (3.11)	12s
Lint check / Lint check (3.13)	14s
Lint check / Lint check (3.10)	11s
Type check / Type check (3.12)	29s
Lint check / Lint check (3.12)	14s
Docs check / Docs check	1m 6s
Unit tests / Unit tests (windows-latest, 3.10)	55s
Unit tests / Unit tests (ubuntu-latest, 3.10)	24s
Unit tests / Unit tests (ubuntu-latest, 3.11)	25s
Unit tests / Unit tests (ubuntu-latest, 3.12)	26s
Integration tests / Integration tests (3.10)	8m 16s
Unit tests / Unit tests (windows-latest, 3.11)	51s
Unit tests / Unit tests (windows-latest, 3.13)	1m 1s
Unit tests / Unit tests (ubuntu-latest, 3.13)	25s
Unit tests / Unit tests (windows-latest, 3.12)	54s
Integration tests / Integration tests (3.13)	8m 16s
Integration tests / Approve integration tests for PRs from forks	8m 16s
	33m 58s

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