Non-reproducible when testing with ArcGIS Experience Builder and ArcGIS Online June 2024 releases.
解决办法
If creating a Web AppBuilder app from the web map with the same configuration above, the issue is not reproducible.
If removing the other view layers (View Layer 2 - Medium and View Layer 3 - Large) from the web map which are not a part of the ArcGIS Online Group, it resolves the sign-in prompt issue.