### 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
switch (vcs_actions_menu->get_item_id(p_idx)) {
		case RUN_VCS_METADATA: {
			VersionControlEditorPlugin::get_singleton()->popup_vcs_metadata_dialog();
		} break;
		case RUN_VCS_SETTINGS: {
			VersionControlEditorPlugin::get_singleton()->popup_vcs_set_up_dialog(gui_base);
		} break;
	}
}
void EditorNode::_update_title() {
	const String appname = GLOBAL_GET("application/config/name");
	String title = (appname.is_empty() ? TTR("Unnamed Project") : appname);
	const String edited = editor_data.get_edited_scene_root() ? editor_data.get_edited_scene_root()->get_scene_file_path() : String();
	if (!edited.is_empty()) {
		
		title = vformat("%s - %s", edited.get_file(), title);
	}
	if (unsaved_cache) {
		
		title = vformat("(*) %s", title);
	}
	DisplayServer::get_singleton()->window_set_title(title + String(" - ") + VERSION_NAME);
	if (project_title) {
		project_title->set_text(title);
	}
}
void EditorNode::shortcut_input(const Ref<InputEvent> &p_event) {