Question regarding character with Superman-like costume in my short film

Hey everyone,

I’m writing a short film in film school where a character wears a Superman-like costume. He’s a middle-aged failed actor who dreams of playing Superman, so it’s very clear he is not actually Superman, just someone who has a dream to play that character.

If the costume does not use the official Superman logo, could this still be problematic from a copyright or trademark perspective?

Curious if anyone here has dealt with something similar in a film project.