chore: migrate @protocol to @playwright/protocol

[mxschmitt]

See #34013 for context.

[github-actions]

Test results for "tests 1"

9 flaky

⚠️ [chromium-library] › library/chromium/oopif.spec.ts:284:3 › should click @chromium-ubuntu-22.04-node20
⚠️ [chromium-library] › library/popup.spec.ts:264:3 › should not throw when click closes popup @chromium-ubuntu-22.04-node22
⚠️ [firefox-page] › page/page-evaluate.spec.ts:403:3 › should throw for too deep reference chain @firefox-ubuntu-22.04-node18
⚠️ [webkit-library] › library/browsercontext-clearcookies.spec.ts:52:3 › should remove cookies by name @webkit-ubuntu-22.04-node18
⚠️ [webkit-library] › library/proxy.spec.ts:291:3 › should use SOCKS proxy for websocket requests @webkit-ubuntu-22.04-node18
⚠️ [webkit-library] › library/trace-viewer.spec.ts:149:1 › should open simple trace viewer @webkit-ubuntu-22.04-node18
⚠️ [webkit-page] › page/page-leaks.spec.ts:107:5 › fill should not leak @webkit-ubuntu-22.04-node18
⚠️ [webkit-page] › page/page-set-input-files.spec.ts:205:3 › should upload multiple large files @webkit-ubuntu-22.04-node18
⚠️ [playwright-test] › ui-mode-test-watch.spec.ts:145:5 › should watch all @windows-latest-node18-1

37293 passed, 650 skipped
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Merge workflow run.