Dear apartment maintenance people who think that stuffing latex gloves into the hole in my a/c closet will stop it from leaking:
No. It will not.
As Brian pointed out, there's a possibility I'm about to be reaaaally glad I have mandatory renter's insurance.
ETA: I would like to take this time to thank God that the TV was plugged into the top outlet and not the bottom one.
ETA, Jr.: I called the office the second I saw this and they sent a maintenance worker here right away. (Hopefully a different one who is smarter than Latex Glove Man.) I showed him my closet and my wall and he was like "Wow." That's not a good sign. He is currently checking out my upstairs neighbor's a/c. Just in case you were wondering about that :)
It turned out the people who live above me, one of their pipes corroded or something. That got fixed so it's not leaking anymore, and they told me that someone would be by to spray/repaint my walls tomorrow.