### 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)

for (Ref<EditorExportPlugin> &plugin : customize_resources_plugins) {
			plugin->_end_customize_resources();
		}
		for (Ref<EditorExportPlugin> &plugin : customize_scenes_plugins) {
			plugin->_end_customize_scenes();
		}
	}
	
	Vector<String> custom_list;
	if (!p_preset->get_custom_features().is_empty()) {
		Vector<String> tmp_custom_list = p_preset->get_custom_features().split(",");
		for (int i = 0; i < tmp_custom_list.size(); i++) {
			String f = tmp_custom_list[i].strip_edges();
			if (!f.is_empty()) {
				custom_list.push_back(f);
			}
		}
	}
	for (int i = 0; i < export_plugins.size(); i++) {
		custom_list.append_array(export_plugins[i]->_get_export_features(Ref<EditorExportPlatform>(this), p_debug));
	}
	ProjectSettings::CustomMap custom_map;
	if (path_remaps.size()) {
		if (true) { 
			for (int i = 0; i < path_remaps.size(); i += 2) {
				String from = path_remaps[i];
				String to = path_remaps[i + 1];
				String remap_file = "[remap]\n\npath=\"" + to.c_escape() + "\"\n";
				CharString utf8 = remap_file.utf8();
				Vector<uint8_t> new_file;