fix(tracing): do not duplicate network traces

[yury-s]

Fixes #34404

[github-actions]

Test results for "tests 1"

1 failed
❌ [webkit-page] › tests/page/page-leaks.spec.ts:161:5 › waitFor should not leak @webkit-ubuntu-22.04-node18

10 flaky

⚠️ [firefox-page] › tests/page/page-evaluate.spec.ts:403:3 › should throw for too deep reference chain @firefox-ubuntu-22.04-node18
⚠️ [playwright-test] › tests/ui-mode-trace.spec.ts:341:5 › should work behind reverse proxy @macos-latest-node18-1
⚠️ [webkit-library] › tests/library/popup.spec.ts💯3 › should inherit touch support from browser context @webkit-ubuntu-22.04-node18
⚠️ [webkit-library] › tests/library/screenshot.spec.ts:44:14 › page screenshot › should work with a mobile viewport @webkit-ubuntu-22.04-node18
⚠️ [webkit-library] › tests/library/screenshot.spec.ts:55:14 › page screenshot › should work with a mobile viewport and clip @webkit-ubuntu-22.04-node18
⚠️ [webkit-library] › tests/library/screenshot.spec.ts:66:14 › page screenshot › should work with a mobile viewport and fullPage @webkit-ubuntu-22.04-node18
⚠️ [webkit-library] › tests/library/screenshot.spec.ts:278:14 › element screenshot › should restore viewport after page screenshot and exception @webkit-ubuntu-22.04-node18
⚠️ [webkit-library] › tests/library/screenshot.spec.ts:291:14 › element screenshot › should restore viewport after page screenshot and timeout @webkit-ubuntu-22.04-node18
⚠️ [webkit-page] › tests/page/page-leaks.spec.ts:82:5 › click should not leak @webkit-ubuntu-22.04-node18
⚠️ [webkit-page] › tests/page/page-leaks.spec.ts:107:5 › fill should not leak @webkit-ubuntu-22.04-node18

37676 passed, 650 skipped
✔️✔️✔️

Merge workflow run.

[mxschmitt]

Do you mind adding this regression test as well? #33106 (comment)

[yury-s]

Discussed the approach and didn't like the complexity, especially because the file naming have to be consistent in at least 3 layers - server side, client side local utils, trace viewer. Will do #34616 instead to address immediate problem.