The trait that is least likely to help you identify the correct group of the organism in this scenario is the presence of different cell shapes.
This is because both bacteria and protists can exhibit a variety of shapes, and while this trait is a characteristic of many organisms, it does not definitively distinguish between bacteria and protists. In contrast, the presence or absence of a nucleus and cell membranes are more directly indicative of whether the organism is a prokaryote (bacteria) or a eukaryote (protist).