### 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)

chars += 2;
		for (int j = 0; j < s.length(); j++) {
			encode_uint16(s[j], chars);
			chars += 2;
		}
		encode_uint16(0, chars);
		chars += 2;
	}
	
	while (ret.size() % 4) {
		ret.push_back(0);
	}
	
	encode_uint32(string_flags & ~0x100, &ret.write[28]);
	
	encode_uint32(ret.size() - 12, &ret.write[16]);
	
	int rest_from = 12 + string_block_len;
	int rest_to = ret.size();
	int rest_len = (r_manifest.size() - rest_from);
	ret.resize(ret.size() + (r_manifest.size() - rest_from));
	for (int i = 0; i < rest_len; i++) {
		ret.write[rest_to + i] = r_manifest[rest_from + i];
	}
	
	encode_uint32(ret.size(), &ret.write[4]);
	r_manifest = ret;
	
}
void EditorExportPlatformAndroid::_load_image_data(const Ref<Image> &p_splash_image, Vector<uint8_t> &p_data) {