### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
int x = (img->get_width() - vp_size) / 2;
			int y = (img->get_height() - vp_size) / 2;
			if (vp_size < preview_size) {
				
				img->crop_from_point(x, y, vp_size, vp_size);
			} else {
				int ratio = vp_size / preview_size;
				int size = preview_size * MAX(1, ratio / 2);
				x = (img->get_width() - size) / 2;
				y = (img->get_height() - size) / 2;
				img->crop_from_point(x, y, size, size);
				img->resize(preview_size, preview_size, Image::INTERPOLATE_LANCZOS);
			}
			img->convert(Image::FORMAT_RGB8);
			
			String temp_path = EditorPaths::get_singleton()->get_cache_dir();
			String cache_base = ProjectSettings::get_singleton()->globalize_path(p_file).md5_text();
			cache_base = temp_path.path_join("resthumb-" + cache_base);
			
			post_process_preview(img);
			img->save_png(cache_base + ".png");
		}
	}
	save.step(TTR("Saving Scene"), 4);
	_save_scene(p_file, p_idx);
	if (!singleton->cmdline_export_mode) {
		EditorResourcePreview::get_singleton()->check_for_invalidation(p_file);
	}
}
bool EditorNode::_validate_scene_recursive(const String &p_filename, Node *p_node) {