### 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
exiting = true;
	resource_preview->stop(); 
	_save_editor_layout();
	
	dim_editor(true);
	get_tree()->quit(p_exit_code);
}
void EditorNode::_discard_changes(const String &p_str) {
	switch (current_menu_option) {
		case FILE_CLOSE:
		case SCENE_TAB_CLOSE: {
			Node *scene = editor_data.get_edited_scene_root(tab_closing_idx);
			if (scene != nullptr) {
				String scene_filename = scene->get_scene_file_path();
				if (!scene_filename.is_empty()) {
					previous_scenes.push_back(scene_filename);
				}
			}
			
			if (!_is_closing_editor()) {
				_remove_scene(tab_closing_idx);
				scene_tabs->update_scene_tabs();