refactor!: Adapt to apify-client v3 [WIP] #88

Job	Run time
Code checks / Actions lint check	30s
Code checks / Spell check	7s
PR title check	5s
Code checks / Type check / Type check (3.13)	12s
Doc checks / Doc checks / Docs check	1m 1s
Code checks / Type check / Type check (3.10)	13s
Code checks / Lint check / Lint check (3.12)	11s
Code checks / Type check / Type check (3.14)	13s
Code checks / Lint check / Lint check (3.10)	13s
Code checks / Type check / Type check (3.12)	10s
Code checks / Lint check / Lint check (3.13)	11s
Code checks / Lint check / Lint check (3.11)	12s
Code checks / Lint check / Lint check (3.14)	13s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	38s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	41s
Code checks / Type check / Type check (3.11)	12s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	39s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	38s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.10)	9m 33s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	44s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	1m 12s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	1m 5s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	1m 9s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.14)	10m 16s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	59s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	1m 0s
	32m 17s

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