### 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
_menu_option_confirm(p_option, false);
}
void EditorNode::_menu_confirm_current() {
	_menu_option_confirm(current_menu_option, true);
}
void EditorNode::trigger_menu_option(int p_option, bool p_confirmed) {
	_menu_option_confirm(p_option, p_confirmed);
}
void EditorNode::_dialog_display_save_error(String p_file, Error p_error) {
	if (p_error) {
		switch (p_error) {
			case ERR_FILE_CANT_WRITE: {
				show_accept(TTR("Can't open file for writing:") + " " + p_file.get_extension(), TTR("OK"));
			} break;
			case ERR_FILE_UNRECOGNIZED: {
				show_accept(TTR("Requested file format unknown:") + " " + p_file.get_extension(), TTR("OK"));
			} break;
			default: {
				show_accept(TTR("Error while saving."), TTR("OK"));
			} break;
		}
	}
}
void EditorNode::_dialog_display_load_error(String p_file, Error p_error) {