refactor!: Adapt to apify-client v3 [WIP] #36

Job	Run time
PR title check	3s
Code checks / Spell check	6s
Doc checks / Doc checks / Docs check	59s
Code checks / Actions lint check	29s
Code checks / Lint check / Lint check (3.11)	9s
Code checks / Lint check / Lint check (3.14)	13s
Code checks / Type check / Type check (3.13)	10s
Code checks / Type check / Type check (3.12)	9s
Code checks / Type check / Type check (3.10)	12s
Code checks / Type check / Type check (3.14)	12s
Code checks / Lint check / Lint check (3.13)	11s
Code checks / Lint check / Lint check (3.12)	11s
Code checks / Type check / Type check (3.11)	14s
Code checks / Lint check / Lint check (3.10)	11s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	1m 0s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	39s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	39s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	42s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.10)	4m 26s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	1m 0s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	1m 7s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.14)	15m 20s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	1m 0s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	1m 3s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	42s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	40s
	31m 47s

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