Oaxaca is what they often use I think. It’s very stringy but does get a little chewy when it’s cooked I guess. It’s often used in queso fundido too.
I suppose it might also be something like this:
https://elmexicano.net/casero/#:~:text=Enchilado-,Casero%2520%C2%AE,to%2520all%2520authentic%2520Mexican%2520dishes.