refactor!: Adapt to apify-client v3 [WIP] #86

Job	Run time
PR title check	3s
Code checks / Actions lint check	32s
Code checks / Spell check	5s
Code checks / Lint check / Lint check (3.10)	9s
Code checks / Lint check / Lint check (3.11)	8s
Code checks / Lint check / Lint check (3.12)	9s
Code checks / Lint check / Lint check (3.13)	10s
Code checks / Type check / Type check (3.13)	9s
Code checks / Type check / Type check (3.12)	11s
Code checks / Type check / Type check (3.11)	9s
Code checks / Lint check / Lint check (3.14)	12s
Doc checks / Doc checks / Docs check	58s
Code checks / Type check / Type check (3.14)	14s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	36s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	39s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.14)	8m 40s
Code checks / Type check / Type check (3.10)	11s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	59s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	1m 8s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	1m 2s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	1m 16s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	1m 46s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	48s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	37s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.10)	8m 37s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	44s
	30m 12s

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