chore: improve `HttpClient` isolating in tests #3785

Job	Run time
Lint check / Lint check (3.11)	23s
Lint check / Lint check (3.10)	24s
Lint check / Lint check (3.13)	25s
Lint check / Lint check (3.12)	53s
Type check / Type check (3.10)	48s
Type check / Type check (3.11)	53s
Type check / Type check (3.13)	43s
Type check / Type check (3.12)	45s
Unit tests / Unit tests (ubuntu-latest, 3.12)	2m 27s
Unit tests / Unit tests (ubuntu-latest, 3.13)	2m 36s
Unit tests / Unit tests (ubuntu-latest, 3.11)	2m 33s
Unit tests / Unit tests (ubuntu-latest, 3.10)	2m 39s
Unit tests / Unit tests (windows-latest, 3.11)	4m 36s
Docs check / Docs check	1m 40s
Unit tests / Unit tests (windows-latest, 3.10)	3m 59s
Unit tests / Unit tests (windows-latest, 3.13)	4m 16s
Unit tests / Unit tests (windows-latest, 3.12)	4m 34s
	34m 34s

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