refactor!: Remove `Request.id` field #603

Job	Run time
Docs check / Docs check	53s
Lint check / Lint check (3.13)	13s
Type check / Type check (3.10)	26s
Type check / Type check (3.11)	27s
Lint check / Lint check (3.11)	10s
Type check / Type check (3.12)	26s
Unit tests / Unit tests (ubuntu-latest, 3.10)	29s
Unit tests / Unit tests (ubuntu-latest, 3.12)	30s
Lint check / Lint check (3.12)	9s
Type check / Type check (3.13)	27s
Unit tests / Unit tests (windows-latest, 3.11)	47s
Lint check / Lint check (3.10)	13s
Unit tests / Unit tests (windows-latest, 3.10)	46s
Unit tests / Unit tests (windows-latest, 3.13)	56s
Unit tests / Unit tests (ubuntu-latest, 3.13)	25s
Unit tests / Unit tests (windows-latest, 3.12)	1m 42s
Integration tests / Approve integration tests for PRs from forks	10m 2s
Integration tests / Integration tests (3.13)	10m 2s
Integration tests / Integration tests (3.10)	10m 2s
Unit tests / Unit tests (ubuntu-latest, 3.11)	24s
	39m 29s

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