### 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)

if (p_from == presets) {
		int pos = presets->get_item_at_position(p_point, true);
		if (pos >= 0) {
			Dictionary d;
			d["type"] = "export_preset";
			d["preset"] = pos;
			HBoxContainer *drag = memnew(HBoxContainer);
			TextureRect *tr = memnew(TextureRect);
			tr->set_texture(presets->get_item_icon(pos));
			drag->add_child(tr);
			Label *label = memnew(Label);
			label->set_text(presets->get_item_text(pos));
			drag->add_child(label);
			presets->set_drag_preview(drag);
			return d;
		}
	}
	return Variant();
}
bool ProjectExportDialog::can_drop_data_fw(const Point2 &p_point, const Variant &p_data, Control *p_from) const {