Thanks everyone!
The leaves didn't just get brown edges, they shriveled up - overnight - literally!
The plant has been inside for about a month now, and grew faster in that month than it ever did on my porch, so I assumed it was loving it inside.
I mist the leaves every single day, along with my purple waffles and philodendrons.
I will definitely put it on a pebble tray and cut down on the watering, and make sure those leaves get a good shower every day.