cherry-pick(#35603): chore: temporarily disable floating promise warning messages v2

[agg23]

No description provided.

[mxschmitt]

The target branch looks wrong, shouldn't it be release-1.52?

[github-actions]

Test results for "tests 1"

2 failed
❌ [playwright-test] › runner.spec.ts:118:5 › should ignore subprocess creation error because of SIGINT @macos-latest-node18-1
❌ [webkit-library] › library/browsercontext-pages.spec.ts:105:3 › should return bounding box with page scale @webkit-ubuntu-22.04-node18

5 flaky

⚠️ [chromium-library] › library/chromium/oopif.spec.ts:284:3 › should click @chromium-ubuntu-22.04-node20
⚠️ [firefox-page] › page/page-evaluate.spec.ts:424:3 › should throw for too deep reference chain @firefox-ubuntu-22.04-node18
⚠️ [playwright-test] › ui-mode-trace.spec.ts:396:5 › should work behind reverse proxy @macos-latest-node18-1
⚠️ [webkit-page] › page/page-screenshot.spec.ts:345:5 › page screenshot › should work while navigating @webkit-ubuntu-22.04-node18
⚠️ [playwright-test] › ui-mode-test-watch.spec.ts:145:5 › should watch all @windows-latest-node18-1

39025 passed, 921 skipped
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Merge workflow run.