docs: backport runnable code example fixes to v3 versioned docs #827

Job	Run time
PR title check	4s
Checks / Actions lint check	32s
Checks / Type check / Type check (3.12)	15s
Checks / E2E tests (3.11, ubuntu-latest)	4m 49s
Checks / Integration tests (3.11, ubuntu-latest)	2m 44s
Checks / Unit tests / Unit tests (windows-latest, 3.13)	1m 31s
Checks / Integration tests (3.14, ubuntu-latest)	4m 9s
Checks / Doc check / Docs check	57s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.11)	1m 9s
Checks / Type check / Type check (3.11)	10s
Checks / Unit tests / Unit tests (windows-latest, 3.12)	1m 43s
Checks / Lint check / Lint check (3.12)	13s
Checks / Type check / Type check (3.13)	12s
Checks / Lint check / Lint check (3.13)	11s
Checks / Lint check / Lint check (3.11)	11s
Checks / Lint check / Lint check (3.14)	11s
Checks / Unit tests / Unit tests (windows-latest, 3.11)	1m 54s
Checks / E2E tests (3.14, ubuntu-latest)	5m 12s
Checks / Package check	17s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.13)	1m 15s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.14)	1m 15s
Checks / Spell check	7s
Checks / Unit tests / Unit tests (windows-latest, 3.14)	1m 34s
Checks / Type check / Type check (3.14)	16s
Checks / Unit tests / Unit tests (ubuntu-latest, 3.12)	1m 14s
	32m 5s

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