### 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)

Dictionary config;
	Array libs;
	for (int i = 0; i < p_shared_objects.size(); i++) {
		libs.push_back(p_shared_objects[i].path.get_file());
	}
	Vector<String> flags;
	gen_export_flags(flags, p_flags & (~DEBUG_FLAG_DUMB_CLIENT));
	Array args;
	for (int i = 0; i < flags.size(); i++) {
		args.push_back(flags[i]);
	}
	config["canvasResizePolicy"] = p_preset->get("html/canvas_resize_policy");
	config["experimentalVK"] = p_preset->get("html/experimental_virtual_keyboard");
	config["focusCanvas"] = p_preset->get("html/focus_canvas_on_start");
	config["gdextensionLibs"] = libs;
	config["executable"] = p_name;
	config["args"] = args;