FL, Don't be furious. Just be cool. But tell her. Tell her - look her in the eye and tell her regardless of what she says that you know what happened and it will not happen again on your watch. Then tell her it's behind you and you will not discuss it any longer unless she wants to confess.
Then put it behind you and have a nice dinner. If she contines to lie, ignore her. Change the subject. FL, I had to go for 6 months without talking to my son when he refused to do what was right. I hated it, it bothered me, but he knew that I would not tolerate certain things from him.
Eventually, the love in their hearts breaks through the stupidity of their youth. Eventually, they respect you standing for what's right. With four over 18 now, I can say that without fail they eventually understand. But I don't know that they will understand if we continue to accept bad behaviour. Because I never did.
This is something that (rightfully) bothers you. Tell her that you want to speak and after you speak she can either come clean or continue to deny something that you know for a fact. Tell her how you feel. Then have a dinner together. At her age, she is old enough to be told the truth. At her age, she needs to have some consequences for her actions. But she also needs to know that she doesn't have certain powers over you. The power to depress, etc. Even if you are about it, you must not let her know that.
FL, I had my house re-keyed to prevent my son from coming in. That was his consequence. He still does not have a key to my house. I plan on having one in his stocking this Christmas, but that's not because of anything I did. It's because of things he has done to atone. It was time for him to start acting like an adult and he has, so he will have some benefit for that. But if he went back to his old ways, I'd call a locksmith and re-key the house again.
I hope you have fun this weekend with your war games.