### 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)

args.push_back(p_preset->get_or_env("codesign/identity", ENV_WIN_CODESIGN_ID));
		} else {
			add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("No identity found."));
			return FAILED;
		}
	} else {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("Invalid identity type."));
		return FAILED;
	}
#else
	int id_type = 1;
	if (p_preset->get_or_env("codesign/identity", ENV_WIN_CODESIGN_ID) != "") {
		args.push_back("-pkcs12");
		args.push_back(p_preset->get_or_env("codesign/identity", ENV_WIN_CODESIGN_ID));
	} else {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("No identity found."));
		return FAILED;
	}
#endif
	
	if ((id_type == 1) && (p_preset->get_or_env("codesign/password", ENV_WIN_CODESIGN_PASS) != "")) {
#ifdef WINDOWS_ENABLED
		args.push_back("/p");
#else
		args.push_back("-pass");
#endif
		args.push_back(p_preset->get_or_env("codesign/password", ENV_WIN_CODESIGN_PASS));
	}
	
	if (p_preset->get("codesign/timestamp")) {