fix(playwright): filter unsupported context options in persistent browser #392

Job	Run time
PR title check	4s
Code checks / Spell check	8s
Code checks / Actions lint check	34s
Doc checks / Doc checks / Docs check	2m 7s
Code checks / Lint check / Lint check (3.13)	36s
Code checks / Type check / Type check (3.10)	30s
Code checks / Lint check / Lint check (3.10)	31s
Code checks / Type check / Type check (3.12)	31s
Code checks / Lint check / Lint check (3.12)	29s
Code checks / Type check / Type check (3.11)	35s
Code checks / Lint check / Lint check (3.14)	26s
Code checks / Type check / Type check (3.13)	28s
Code checks / Lint check / Lint check (3.11)	25s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 58s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 55s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 41s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 42s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	6m 59s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	5m 33s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	5m 16s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	6m 37s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	7m 24s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	7m 35s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	3m 55s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	5m 43s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	5m 31s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	4m 9s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	4m 58s
Code checks / Type check / Type check (3.14)	29s
	1h 30m 49s

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