Secure an outward outward-swinging door in an apartment

Hey all

I have a situation I'm afraid to post fully online but I need help. I need to find the best way to secure an apartment door that swings outward to a shared, steep, back staircase. It is not the door to the building but it is the door to the apartment. It is a thin POS and I have reason to be concerned about other things happening in the same building. It has a door lock already but not a great one. Handle could securely fit some kind of chain. There is a small step before the door on the inside, weird setup. Swings outward. Windows beside it, unreachable.

I don't have woodworking tools and it's an apartment. I do not and cannot currently get CCL. Please help.