### 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)

return ERR_CANT_CREATE;
	}
	const int bufsize = 16384;
	uint8_t buf[bufsize];
	while (true) {
		uint64_t got = ftmp->get_buffer(buf, bufsize);
		if (got == 0) {
			break;
		}
		f->store_buffer(buf, got);
	}
	ftmp.unref(); 
	if (p_embed) {
		
		uint64_t embed_end = f->get_position() - embed_pos + 12;
		uint64_t pad = embed_end % 8;
		for (uint64_t i = 0; i < pad; i++) {
			f->store_8(0);
		}
		uint64_t pck_size = f->get_position() - pck_start_pos;
		f->store_64(pck_size);
		f->store_32(PACK_HEADER_MAGIC);
		if (r_embedded_size) {
			*r_embedded_size = f->get_position() - embed_pos;
		}
	}
	DirAccess::remove_file_or_error(tmppath);
	return OK;
}
Error EditorExportPlatform::save_zip(const Ref<EditorExportPreset> &p_preset, bool p_debug, const String &p_path) {