chore: save chrome trace on the client side

[pavelfeldman]

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[github-actions]

Test results for "tests 1"

8 flaky
⚠️ [chromium-ubuntu-22.04-node18] › page/page-event-request.spec.ts💯3 › should report navigation requests and responses handled by service worker
⚠️ [webkit-ubuntu-22.04-node16] › library/browsercontext-reuse.spec.ts:50:1 › should reset serviceworker
⚠️ [firefox-ubuntu-22.04-node16] › library/tracing.spec.ts:706:5 › should not emit after w/o before
⚠️ [chromium-ubuntu-22.04-node20] › page/page-event-request.spec.ts:129:3 › should report navigation requests and responses handled by service worker with routing
⚠️ [playwright-test-windows-latest-node16] › ui-mode-test-progress.spec.ts:218:5 › should show trace w/ multiple contexts
⚠️ [playwright-test-windows-latest-node16] › ui-mode-trace.spec.ts:53:5 › should merge web assertion events
⚠️ [playwright-test-ubuntu-latest-node16] › ui-mode-trace.spec.ts:126:5 › should show snapshots for sync assertions
⚠️ [playwright-test-macos-latest-node16] › ui-mode-trace.spec.ts:53:5 › should merge web assertion events

21772 passed, 508 skipped
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Merge workflow run.