Shouldn’t Do This, but…

Also, put in an outlet that isn’t going to be immediately obviously different. Don’t put in a black outlet if the others are white. Don’t put a 20A outlet if the others are 15A.  If the other outlets are already TR, you'll need to do the same.

Also, one big issue with apartments is that the drywall around the outlets have deteriorated and make them loose, so figure out if you need plastic spacers or a Hubbel Flush-Fit before attempting this.

Thanks everyone. Overloading the circuit does sound like a good idea. More ways on how to do that? Yes, the outlets are both black!

Get a hair dryer and toaster oven or vacuum cleaner on the same outlet. You’ll want the right tools. Sandpaper, wire strippers, wire cutters, needle nose pliers and small and medium screwdrivers of both kinds. Square drive electrician’s is ideal, but not strictly necessary.

If your apartment has had the fuses/breakers fiddled with however you may have too high of a breaker/fuse value.  If you don't trip the breakers in 10 seconds give it up.

NEC 240 . 24 (B) says each occupant shall have ready access to all overcurrent devices supplying the occupancy 

@oldelectricalinspctor It has been a long time since I rented but I'm pretty sure I never rented where I didn't know where the electrical breaker box was.  Glad to know this is in the NEC.