### 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)

ERR_FAIL_COND_V(err != OK, ERR_SKIP);
		ftmp = fae;
	}
	
	ftmp->store_buffer(p_data.ptr(), p_data.size());
	if (fae.is_valid()) {
		ftmp.unref();
		fae.unref();
	}
	int pad = _get_pad(PCK_PADDING, pd->f->get_position());
	for (int i = 0; i < pad; i++) {
		pd->f->store_8(0);
	}
	
	{
		unsigned char hash[16];
		CryptoCore::md5(p_data.ptr(), p_data.size(), hash);
		sd.md5.resize(16);
		for (int i = 0; i < 16; i++) {
			sd.md5.write[i] = hash[i];
		}
	}
	pd->file_ofs.push_back(sd);
	
	if (pd->ep->step(vformat(TTR("Storing File: %s"), p_path), 2 + p_file * 100 / p_total, false)) {
		return ERR_SKIP;
	}
	return OK;
}
Error EditorExportPlatform::_save_zip_file(void *p_userdata, const String &p_path, const Vector<uint8_t> &p_data, int p_file, int p_total, const Vector<String> &p_enc_in_filters, const Vector<String> &p_enc_ex_filters, const Vector<uint8_t> &p_key) {