### 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
return changing_scene;
}
void EditorNode::_set_current_scene(int p_idx) {
	if (p_idx == editor_data.get_edited_scene()) {
		return; 
	}
	_set_current_scene_nocheck(p_idx);
}
void EditorNode::_set_current_scene_nocheck(int p_idx) {
	
	if (editor_data.get_scene_path(p_idx) != "" && editor_data.get_edited_scene_root(p_idx)) {
		editor_folding.save_scene_folding(editor_data.get_edited_scene_root(p_idx), editor_data.get_scene_path(p_idx));
	}
	if (editor_data.check_and_update_scene(p_idx)) {
		if (editor_data.get_scene_path(p_idx) != "") {
			editor_folding.load_scene_folding(editor_data.get_edited_scene_root(p_idx), editor_data.get_scene_path(p_idx));
		}
		EditorUndoRedoManager::get_singleton()->clear_history(false, editor_data.get_scene_history_id(p_idx));
	}
	changing_scene = true;
	editor_data.save_edited_scene_state(editor_selection, &editor_history, _get_main_scene_state());
	if (get_editor_data().get_edited_scene_root()) {
		if (get_editor_data().get_edited_scene_root()->get_parent() == scene_root) {
			scene_root->remove_child(get_editor_data().get_edited_scene_root());
		}
	}
	editor_selection->clear();