Looking at the dent, looks like they have to replace that part of the metal. I don't know how they do it, as when my RX300 back 5 years ago didn't get any body metal damage, so I can't tell you how they repair that. But unfortunately, you're definitely looking at a 4 digit repair bill.
Take my bumper incident for example. Bumper, painting, and labor costed me $805. Good luck. Just remember, cheaper isn't always going to be better. Use good common sense and inner feelings to judge whether the shop will do a good job or not. I had two shops quote me, about the same price but the first shop seemed like they didn't really know what they're doing. The bumper guard on top of my bumper, is built in, meaning it is part of the bumper, and not some attached thing. First shop told me, they'd remove the old one and put it on the new one. Second shop said that it's part of the bumper and that it's the "unpainted" part of the bumper. Shows to me, the customer, that maybe the first shop doesn't know what they're doing until they start working on my car.
Just make sure you go with a shop that sounds like they know what they're doing and make sure it's no "XYZ bodyshop" but some reputable shop in town. I highly recommend body shops at dealerships because they have a reputation to keep.