You go to a physical store and buy a toilet plunger.

That might seem like a waste of money, but getting a cheap plunger at a dollar store is going to be much less stress than figuring out places to go to the bathroom.

Why can't you ask the apartment manager if you can borrow a plunger? You have a problem, deal with it. There is no shame it happens to everyone at some point. If you worry about what they think and they ask say a friend plugged it.

I also agree with the other post saying to just buy one at the dollar store. You don't "order" things you need right now.

Learn to be an adult and talk to apartment manager and/or buy a plunger at a physical store.

A few things you can try. Simplest is to keep the water level high, let the weight and movement of water keep pressure on the clog and slowly work it through. I've done this for a clogged sink as well. If the water level is dropping a little, that's good, there's a small hole somewhere and continued water moving will erode it bigger until it gives way.

Quicker way is to find something long, flexible, and probably disposable that you can use to get around the bend and push and poke away at the clogged area. You just have to get it around the curve, and it won't even take much of a hole to get water to move and help.

Go to a local store and buy a plunger.

Or have the facilities manager handle it. It's why you pay rent.

Straighten out a coat hanger but leave a U-shaped hook at the end. Send that down there after it. Or just go buy a plunger at the nearest store.

If it's only organic, pour bleach on it or, better yet, sodium hypochlorite. It will dissolve pretty much all that should go down a toilet.

Put a bunch of toilet paper on top, and then use a toilet brush to shove the blockage down. The toilet paper should hopefully keep the brush (or any other object) clean. Once you get it past the ubend it should free up and flow normally.

You can also use a rubbergloved fist, or some other longish object.