fix(playwright): filter unsupported context options in persistent browser #379

Job	Run time
PR title check	5s
Code checks / Actions lint check	34s
Code checks / Spell check	7s
Doc checks / Doc checks / Docs check	1m 52s
Code checks / Lint check / Lint check (3.14)	28s
Code checks / Type check / Type check (3.12)	26s
Code checks / Type check / Type check (3.10)	29s
Code checks / Type check / Type check (3.11)	26s
Code checks / Type check / Type check (3.13)	29s
Code checks / Lint check / Lint check (3.13)	28s
Code checks / Type check / Type check (3.14)	30s
Code checks / Lint check / Lint check (3.10)	35s
Code checks / Lint check / Lint check (3.11)	26s
Code checks / Lint check / Lint check (3.12)	27s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	5m 4s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 19s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 34s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 41s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	6m 39s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 52s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	3m 37s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	4m 13s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	4m 13s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	3m 8s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	7m 15s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	6m 6s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	4m 7s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	6m 48s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	6m 26s
	1h 23m 24s

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