### Tested versions

Godot Engine v4.2.stable.official.46dc27791

### System information

Windows 10

### Issue description

When exporting to web, Godot fails with this error in the console:

> scene/main/window.cpp:884 - Attempting to make child window exclusive, but the parent window already has another exclusive child. This window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->VBoxContainer@<!-- -->137/@<!-- -->AcceptDialog@<!-- -->411, parent window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559, current exclusive child window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->ProgressDialog@<!-- -->17444

![a](https://github.com/godotengine/godot/assets/2000051/bf9d22aa-d3fe-4e11-bff6-c387e740fe90)

This happens for newly created empty projects.


### Steps to reproduce

1. Open the attached project (or create a new project).
2. Project->Export->Export All
3. Observe the console error.  No output files are generated.


### Minimal reproduction project (MRP)

[export_test.zip](https://github.com/godotengine/godot/files/13574810/export_test.zip)

{
			List<String> install_name_args;
			install_name_args.push_back("-id");
			install_name_args.push_back(String("@rpath").path_join(framework_name).path_join(file_name));
			install_name_args.push_back(destination);
			OS::get_singleton()->execute("install_name_tool", install_name_args);
		}
		
		{
			String info_plist_format = "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n"
									   "<!DOCTYPE plist PUBLIC \"-//Apple//DTD PLIST 1.0//EN\" \"http://www.apple.com/DTDs/PropertyList-1.0.dtd\">\n"
									   "<plist version=\"1.0\">\n"
									   "<dict>\n"
									   "<key>CFBundleShortVersionString</key>\n"
									   "<string>1.0</string>\n"
									   "<key>CFBundleIdentifier</key>\n"
									   "<string>com.gdextension.framework.$name</string>\n"
									   "<key>CFBundleName</key>\n"
									   "<string>$name</string>\n"
									   "<key>CFBundleExecutable</key>\n"
									   "<string>$name</string>\n"
									   "<key>DTPlatformName</key>\n"
									   "<string>iphoneos</string>\n"
									   "<key>CFBundleInfoDictionaryVersion</key>\n"
									   "<string>6.0</string>\n"
									   "<key>CFBundleVersion</key>\n"
									   "<string>1</string>\n"
									   "<key>CFBundlePackageType</key>\n"
									   "<string>FMWK</string>\n"
									   "<key>MinimumOSVersion</key>\n"