fix: Respect `max_open_pages_per_browser` limit for `PlaywrightBrowserController` on concurrent `new_page` calls #203

Job	Run time
PR title check	6s
Code checks / Actions lint check	31s
Code checks / Spell check	5s
Doc checks / Doc checks / Docs check	1m 45s
Code checks / Lint check / Lint check (3.10)	24s
Code checks / Type check / Type check (3.14)	33s
Code checks / Type check / Type check (3.10)	33s
Code checks / Type check / Type check (3.12)	26s
Code checks / Type check / Type check (3.11)	24s
Code checks / Type check / Type check (3.13)	25s
Code checks / Lint check / Lint check (3.11)	26s
Code checks / Lint check / Lint check (3.13)	26s
Code checks / Lint check / Lint check (3.14)	25s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	4m 27s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 15s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	4m 51s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	3m 41s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	7m 17s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	6m 35s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	10m 15s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	6m 54s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	4m 24s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	6m 6s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	6m 1s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	5m 48s
Code checks / Lint check / Lint check (3.12)	30s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	15m 56s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	4m 12s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 42s
	1h 42m 23s

Provide feedback