Overlay by thrown error at initial load is closed immediately

[woochanleee]

Bug report

Actual Behavior

Overlay by thrown error at initial load is closed immediately.

https://github.com/webpack/webpack-dev-server/assets/48552260/5f8184b4-60d5-4fc3-ba2c-c1cbb715cada

With debugger mode

https://github.com/webpack/webpack-dev-server/assets/48552260/deda2386-87e2-4965-a6ef-a5a60134b527

Expected Behavior

Overlay by thrown error at initial load is not closed immediately.

How Do We Reproduce?

Just edit like below the photo to the overlay-example code. https://github.com/webpack/webpack-dev-server/blob/v4.15.1/examples/client/overlay/app.js#L49

Please paste the results of npx webpack-cli info here, and mention other relevant information

System:
  OS: macOS 13.4.1
  CPU: (10) arm64 Apple M1 Max
  Memory: 89.55 MB / 32.00 GB
Binaries:
  Node: 16.14.0 - ~/.nvm/versions/node/v16.14.0/bin/node
  Yarn: 3.6.4 - ~/.nvm/versions/node/v16.14.0/bin/yarn
  npm: 8.3.1 - ~/.nvm/versions/node/v16.14.0/bin/npm
Browsers:
  Chrome: 120.0.6099.109
  Safari: 16.5.2
Global Packages:
  webpack-dev-server: 4.15.1

[snitin315]

I'll check this