### 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
ERR_FAIL_COND_V(p_resource.is_null(), false);
	String path = p_resource->get_path();
	if (!path.is_resource_file()) {
		
		int srpos = path.find("::");
		if (srpos != -1) {
			String base = path.substr(0, srpos);
			
			if (ResourceLoader::get_resource_type(base) == "PackedScene") {
				if (!get_tree()->get_edited_scene_root() || get_tree()->get_edited_scene_root()->get_scene_file_path() != base) {
					
					
					if (!p_foreign_resources_are_writable || FileAccess::exists(base + ".import")) {
						return true;
					}
				}
			} else {
				
				if (FileAccess::exists(base + ".import")) {
					return true;
				}
			}
		}
	} else if (FileAccess::exists(path + ".import")) {
		
		return true;
	}
	return false;
}
void EditorNode::request_instantiate_scene(const String &p_path) {